Sasi Math (Revised for 1024)

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Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 39%, there are now 340 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 31%, there are now 280 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 29%, there are now 480 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 30%, there are now 275 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 22%, there are now 187 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 23%, there are now 432 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 20%, there are now 360 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 41%, there are now 396 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 42%, there are now 259 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

10)

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 23%, there are now 288 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

Answer: 1000

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 39% increase	→100% + 39%
		= 139%
Step 4:	Difference in % of marbles	→139% - 105%
		= 34%
Step 5:	34%	→340
	1%	→ $\frac{340}{34%}$
	Number of blue marbles at the start 100%	→ $\frac{340}{34%}$ x $\frac{100%}{1}$
		= 1000

Answer: 500

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 31% increase	→100% + 31%
		= 131%
Step 4:	Difference in % of marbles	→131% - 75%
		= 56%
Step 5:	56%	→280
	1%	→ $\frac{280}{56%}$
	Number of blue marbles at the start 100%	→ $\frac{280}{56%}$ x $\frac{100%}{1}$
		= 500

Answer: 2000

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 29% increase	→100% + 29%
		= 129%
Step 4:	Difference in % of marbles	→129% - 105%
		= 24%
Step 5:	24%	→480
	1%	→ $\frac{480}{24%}$
	Number of blue marbles at the start 100%	→ $\frac{480}{24%}$ x $\frac{100%}{1}$
		= 2000

Answer: 500

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 30% increase	→100% + 30%
		= 130%
Step 4:	Difference in % of marbles	→130% - 75%
		= 55%
Step 5:	55%	→275
	1%	→ $\frac{275}{55%}$
	Number of blue marbles at the start 100%	→ $\frac{275}{55%}$ x $\frac{100%}{1}$
		= 500

Answer: 1100

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 22% increase	→100% + 22%
		= 122%
Step 4:	Difference in % of marbles	→122% - 105%
		= 17%
Step 5:	17%	→187
	1%	→ $\frac{187}{17%}$
	Number of blue marbles at the start 100%	→ $\frac{187}{17%}$ x $\frac{100%}{1}$
		= 1100

Answer: 900

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 23% increase	→100% + 23%
		= 123%
Step 4:	Difference in % of marbles	→123% - 75%
		= 48%
Step 5:	48%	→432
	1%	→ $\frac{432}{48%}$
	Number of blue marbles at the start 100%	→ $\frac{432}{48%}$ x $\frac{100%}{1}$
		= 900

Answer: 2400

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 20% increase	→100% + 20%
		= 120%
Step 4:	Difference in % of marbles	→120% - 105%
		= 15%
Step 5:	15%	→360
	1%	→ $\frac{360}{15%}$
	Number of blue marbles at the start 100%	→ $\frac{360}{15%}$ x $\frac{100%}{1}$
		= 2400

Answer: 600

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 41% increase	→100% + 41%
		= 141%
Step 4:	Difference in % of marbles	→141% - 75%
		= 66%
Step 5:	66%	→396
	1%	→ $\frac{396}{66%}$
	Number of blue marbles at the start 100%	→ $\frac{396}{66%}$ x $\frac{100%}{1}$
		= 600

Answer: 700

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 42% increase	→100% + 42%
		= 142%
Step 4:	Difference in % of marbles	→142% - 105%
		= 37%
Step 5:	37%	→259
	1%	→ $\frac{259}{37%}$
	Number of blue marbles at the start 100%	→ $\frac{259}{37%}$ x $\frac{100%}{1}$
		= 700

10)

Answer: 600

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 23% increase	→100% + 23%
		= 123%
Step 4:	Difference in % of marbles	→123% - 75%
		= 48%
Step 5:	48%	→288
	1%	→ $\frac{288}{48%}$
	Number of blue marbles at the start 100%	→ $\frac{288}{48%}$ x $\frac{100%}{1}$
		= 600