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 46%, there are now 213 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 15%, there are now 260 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 44%, there are now 414 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 182 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 54%, there are now 395 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 34%, there are now 348 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 268 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 37%, there are now 192 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 55%, there are now 480 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 48%, there are now 473 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

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 46% increase	→100% + 46%
		= 146%
Step 4:	Difference in % of marbles	→146% - 75%
		= 71%
Step 5:	71%	→213
	1%	→ $\frac{213}{71%}$
	Number of blue marbles at the start 100%	→ $\frac{213}{71%}$ x $\frac{100%}{1}$
		= 300

Answer: 2600

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 15% increase	→100% + 15%
		= 115%
Step 4:	Difference in % of marbles	→115% - 105%
		= 10%
Step 5:	10%	→260
	1%	→ $\frac{260}{10%}$
	Number of blue marbles at the start 100%	→ $\frac{260}{10%}$ x $\frac{100%}{1}$
		= 2600

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 44% increase	→100% + 44%
		= 144%
Step 4:	Difference in % of marbles	→144% - 75%
		= 69%
Step 5:	69%	→414
	1%	→ $\frac{414}{69%}$
	Number of blue marbles at the start 100%	→ $\frac{414}{69%}$ 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 18% increase	→100% + 18%
		= 118%
Step 4:	Difference in % of marbles	→118% - 105%
		= 13%
Step 5:	13%	→182
	1%	→ $\frac{182}{13%}$
	Number of blue marbles at the start 100%	→ $\frac{182}{13%}$ x $\frac{100%}{1}$
		= 1400

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 54% increase	→100% + 54%
		= 154%
Step 4:	Difference in % of marbles	→154% - 75%
		= 79%
Step 5:	79%	→395
	1%	→ $\frac{395}{79%}$
	Number of blue marbles at the start 100%	→ $\frac{395}{79%}$ x $\frac{100%}{1}$
		= 500

Answer: 1200

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 34% increase	→100% + 34%
		= 134%
Step 4:	Difference in % of marbles	→134% - 105%
		= 29%
Step 5:	29%	→348
	1%	→ $\frac{348}{29%}$
	Number of blue marbles at the start 100%	→ $\frac{348}{29%}$ x $\frac{100%}{1}$
		= 1200

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 42% increase	→100% + 42%
		= 142%
Step 4:	Difference in % of marbles	→142% - 75%
		= 67%
Step 5:	67%	→268
	1%	→ $\frac{268}{67%}$
	Number of blue marbles at the start 100%	→ $\frac{268}{67%}$ x $\frac{100%}{1}$
		= 400

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 37% increase	→100% + 37%
		= 137%
Step 4:	Difference in % of marbles	→137% - 105%
		= 32%
Step 5:	32%	→192
	1%	→ $\frac{192}{32%}$
	Number of blue marbles at the start 100%	→ $\frac{192}{32%}$ 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 55% increase	→100% + 55%
		= 155%
Step 4:	Difference in % of marbles	→155% - 75%
		= 80%
Step 5:	80%	→480
	1%	→ $\frac{480}{80%}$
	Number of blue marbles at the start 100%	→ $\frac{480}{80%}$ x $\frac{100%}{1}$
		= 600

10)

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 48% increase	→100% + 48%
		= 148%
Step 4:	Difference in % of marbles	→148% - 105%
		= 43%
Step 5:	43%	→473
	1%	→ $\frac{473}{43%}$
	Number of blue marbles at the start 100%	→ $\frac{473}{43%}$ x $\frac{100%}{1}$
		= 1100