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 55%, there are now 300 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 42%, there are now 402 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 52%, there are now 188 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 47%, there are now 288 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 18%, there are now 286 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 22%, there are now 235 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 24%, there are now 114 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 22%, there are now 188 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 40%, there are now 455 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 28%, there are now 318 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

Answer: 600

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 55% increase	→100% + 55%
		= 155%
Step 4:	Difference in % of marbles	→155% - 105%
		= 50%
Step 5:	50%	→300
	1%	→ $\frac{300}{50%}$
	Number of blue marbles at the start 100%	→ $\frac{300}{50%}$ x $\frac{100%}{1}$
		= 600

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 42% increase	→100% + 42%
		= 142%
Step 4:	Difference in % of marbles	→142% - 75%
		= 67%
Step 5:	67%	→402
	1%	→ $\frac{402}{67%}$
	Number of blue marbles at the start 100%	→ $\frac{402}{67%}$ x $\frac{100%}{1}$
		= 600

Answer: 400

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 52% increase	→100% + 52%
		= 152%
Step 4:	Difference in % of marbles	→152% - 105%
		= 47%
Step 5:	47%	→188
	1%	→ $\frac{188}{47%}$
	Number of blue marbles at the start 100%	→ $\frac{188}{47%}$ x $\frac{100%}{1}$
		= 400

Answer: 400

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 47% increase	→100% + 47%
		= 147%
Step 4:	Difference in % of marbles	→147% - 75%
		= 72%
Step 5:	72%	→288
	1%	→ $\frac{288}{72%}$
	Number of blue marbles at the start 100%	→ $\frac{288}{72%}$ x $\frac{100%}{1}$
		= 400

Answer: 2200

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 18% increase	→100% + 18%
		= 118%
Step 4:	Difference in % of marbles	→118% - 105%
		= 13%
Step 5:	13%	→286
	1%	→ $\frac{286}{13%}$
	Number of blue marbles at the start 100%	→ $\frac{286}{13%}$ x $\frac{100%}{1}$
		= 2200

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 22% increase	→100% + 22%
		= 122%
Step 4:	Difference in % of marbles	→122% - 75%
		= 47%
Step 5:	47%	→235
	1%	→ $\frac{235}{47%}$
	Number of blue marbles at the start 100%	→ $\frac{235}{47%}$ x $\frac{100%}{1}$
		= 500

Answer: 600

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 24% increase	→100% + 24%
		= 124%
Step 4:	Difference in % of marbles	→124% - 105%
		= 19%
Step 5:	19%	→114
	1%	→ $\frac{114}{19%}$
	Number of blue marbles at the start 100%	→ $\frac{114}{19%}$ x $\frac{100%}{1}$
		= 600

Answer: 400

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 22% increase	→100% + 22%
		= 122%
Step 4:	Difference in % of marbles	→122% - 75%
		= 47%
Step 5:	47%	→188
	1%	→ $\frac{188}{47%}$
	Number of blue marbles at the start 100%	→ $\frac{188}{47%}$ x $\frac{100%}{1}$
		= 400

Answer: 1300

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 40% increase	→100% + 40%
		= 140%
Step 4:	Difference in % of marbles	→140% - 105%
		= 35%
Step 5:	35%	→455
	1%	→ $\frac{455}{35%}$
	Number of blue marbles at the start 100%	→ $\frac{455}{35%}$ x $\frac{100%}{1}$
		= 1300

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 28% increase	→100% + 28%
		= 128%
Step 4:	Difference in % of marbles	→128% - 75%
		= 53%
Step 5:	53%	→318
	1%	→ $\frac{318}{53%}$
	Number of blue marbles at the start 100%	→ $\frac{318}{53%}$ x $\frac{100%}{1}$
		= 600