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 50%, there are now 270 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 45%, there are now 350 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 25%, there are now 120 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 38%, there are now 378 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 16%, there are now 154 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 27%, there are now 208 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 54%, there are now 392 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 27%, there are now 260 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 35%, there are now 240 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 34%, there are now 295 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 50% increase	→100% + 50%
		= 150%
Step 4:	Difference in % of marbles	→150% - 105%
		= 45%
Step 5:	45%	→270
	1%	→ $\frac{270}{45%}$
	Number of blue marbles at the start 100%	→ $\frac{270}{45%}$ x $\frac{100%}{1}$
		= 600

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 45% increase	→100% + 45%
		= 145%
Step 4:	Difference in % of marbles	→145% - 75%
		= 70%
Step 5:	70%	→350
	1%	→ $\frac{350}{70%}$
	Number of blue marbles at the start 100%	→ $\frac{350}{70%}$ 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 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

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 38% increase	→100% + 38%
		= 138%
Step 4:	Difference in % of marbles	→138% - 75%
		= 63%
Step 5:	63%	→378
	1%	→ $\frac{378}{63%}$
	Number of blue marbles at the start 100%	→ $\frac{378}{63%}$ x $\frac{100%}{1}$
		= 600

Answer: 1400

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 16% increase	→100% + 16%
		= 116%
Step 4:	Difference in % of marbles	→116% - 105%
		= 11%
Step 5:	11%	→154
	1%	→ $\frac{154}{11%}$
	Number of blue marbles at the start 100%	→ $\frac{154}{11%}$ x $\frac{100%}{1}$
		= 1400

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 27% increase	→100% + 27%
		= 127%
Step 4:	Difference in % of marbles	→127% - 75%
		= 52%
Step 5:	52%	→208
	1%	→ $\frac{208}{52%}$
	Number of blue marbles at the start 100%	→ $\frac{208}{52%}$ x $\frac{100%}{1}$
		= 400

Answer: 800

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 54% increase	→100% + 54%
		= 154%
Step 4:	Difference in % of marbles	→154% - 105%
		= 49%
Step 5:	49%	→392
	1%	→ $\frac{392}{49%}$
	Number of blue marbles at the start 100%	→ $\frac{392}{49%}$ x $\frac{100%}{1}$
		= 800

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 27% increase	→100% + 27%
		= 127%
Step 4:	Difference in % of marbles	→127% - 75%
		= 52%
Step 5:	52%	→260
	1%	→ $\frac{260}{52%}$
	Number of blue marbles at the start 100%	→ $\frac{260}{52%}$ x $\frac{100%}{1}$
		= 500

Answer: 800

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 35% increase	→100% + 35%
		= 135%
Step 4:	Difference in % of marbles	→135% - 105%
		= 30%
Step 5:	30%	→240
	1%	→ $\frac{240}{30%}$
	Number of blue marbles at the start 100%	→ $\frac{240}{30%}$ x $\frac{100%}{1}$
		= 800

10)

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 34% increase	→100% + 34%
		= 134%
Step 4:	Difference in % of marbles	→134% - 75%
		= 59%
Step 5:	59%	→295
	1%	→ $\frac{295}{59%}$
	Number of blue marbles at the start 100%	→ $\frac{295}{59%}$ x $\frac{100%}{1}$
		= 500