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 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 38%, there are now 441 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 264 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 329 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 23%, there are now 414 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 50%, there are now 450 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 43%, there are now 266 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 15%, there are now 120 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 36%, there are now 279 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 43%, there are now 340 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

10)

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 25%, there are now 120 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

Answer: 700

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 38% increase	→100% + 38%
		= 138%
Step 4:	Difference in % of marbles	→138% - 75%
		= 63%
Step 5:	63%	→441
	1%	→ $\frac{441}{63%}$
	Number of blue marbles at the start 100%	→ $\frac{441}{63%}$ x $\frac{100%}{1}$
		= 700

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 29% increase	→100% + 29%
		= 129%
Step 4:	Difference in % of marbles	→129% - 105%
		= 24%
Step 5:	24%	→264
	1%	→ $\frac{264}{24%}$
	Number of blue marbles at the start 100%	→ $\frac{264}{24%}$ x $\frac{100%}{1}$
		= 1100

Answer: 700

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%	→329
	1%	→ $\frac{329}{47%}$
	Number of blue marbles at the start 100%	→ $\frac{329}{47%}$ x $\frac{100%}{1}$
		= 700

Answer: 2300

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 23% increase	→100% + 23%
		= 123%
Step 4:	Difference in % of marbles	→123% - 105%
		= 18%
Step 5:	18%	→414
	1%	→ $\frac{414}{18%}$
	Number of blue marbles at the start 100%	→ $\frac{414}{18%}$ x $\frac{100%}{1}$
		= 2300

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 50% increase	→100% + 50%
		= 150%
Step 4:	Difference in % of marbles	→150% - 75%
		= 75%
Step 5:	75%	→450
	1%	→ $\frac{450}{75%}$
	Number of blue marbles at the start 100%	→ $\frac{450}{75%}$ 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 43% increase	→100% + 43%
		= 143%
Step 4:	Difference in % of marbles	→143% - 105%
		= 38%
Step 5:	38%	→266
	1%	→ $\frac{266}{38%}$
	Number of blue marbles at the start 100%	→ $\frac{266}{38%}$ x $\frac{100%}{1}$
		= 700

Answer: 300

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 15% increase	→100% + 15%
		= 115%
Step 4:	Difference in % of marbles	→115% - 75%
		= 40%
Step 5:	40%	→120
	1%	→ $\frac{120}{40%}$
	Number of blue marbles at the start 100%	→ $\frac{120}{40%}$ x $\frac{100%}{1}$
		= 300

Answer: 900

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 36% increase	→100% + 36%
		= 136%
Step 4:	Difference in % of marbles	→136% - 105%
		= 31%
Step 5:	31%	→279
	1%	→ $\frac{279}{31%}$
	Number of blue marbles at the start 100%	→ $\frac{279}{31%}$ x $\frac{100%}{1}$
		= 900

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 43% increase	→100% + 43%
		= 143%
Step 4:	Difference in % of marbles	→143% - 75%
		= 68%
Step 5:	68%	→340
	1%	→ $\frac{340}{68%}$
	Number of blue marbles at the start 100%	→ $\frac{340}{68%}$ x $\frac{100%}{1}$
		= 500

10)

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 25% increase	→100% + 25%
		= 125%
Step 4:	Difference in % of marbles	→125% - 105%
		= 20%
Step 5:	20%	→120
	1%	→ $\frac{120}{20%}$
	Number of blue marbles at the start 100%	→ $\frac{120}{20%}$ x $\frac{100%}{1}$
		= 600