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 46%, there are now 287 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 49%, 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 29%, 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 28%, there are now 207 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 150 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 282 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 16%, there are now 451 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 180 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 48%, there are now 438 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	→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 46% increase	→100% + 46%
		= 146%
Step 4:	Difference in % of marbles	→146% - 105%
		= 41%
Step 5:	41%	→287
	1%	→ $\frac{287}{41%}$
	Number of blue marbles at the start 100%	→ $\frac{287}{41%}$ x $\frac{100%}{1}$
		= 700

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 49% increase	→100% + 49%
		= 149%
Step 4:	Difference in % of marbles	→149% - 105%
		= 44%
Step 5:	44%	→264
	1%	→ $\frac{264}{44%}$
	Number of blue marbles at the start 100%	→ $\frac{264}{44%}$ x $\frac{100%}{1}$
		= 600

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 29% increase	→100% + 29%
		= 129%
Step 4:	Difference in % of marbles	→129% - 75%
		= 54%
Step 5:	54%	→378
	1%	→ $\frac{378}{54%}$
	Number of blue marbles at the start 100%	→ $\frac{378}{54%}$ x $\frac{100%}{1}$
		= 700

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 28% increase	→100% + 28%
		= 128%
Step 4:	Difference in % of marbles	→128% - 105%
		= 23%
Step 5:	23%	→207
	1%	→ $\frac{207}{23%}$
	Number of blue marbles at the start 100%	→ $\frac{207}{23%}$ x $\frac{100%}{1}$
		= 900

Answer: 200

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%	→150
	1%	→ $\frac{150}{75%}$
	Number of blue marbles at the start 100%	→ $\frac{150}{75%}$ x $\frac{100%}{1}$
		= 200

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 52% increase	→100% + 52%
		= 152%
Step 4:	Difference in % of marbles	→152% - 105%
		= 47%
Step 5:	47%	→282
	1%	→ $\frac{282}{47%}$
	Number of blue marbles at the start 100%	→ $\frac{282}{47%}$ x $\frac{100%}{1}$
		= 600

Answer: 1100

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 16% increase	→100% + 16%
		= 116%
Step 4:	Difference in % of marbles	→116% - 75%
		= 41%
Step 5:	41%	→451
	1%	→ $\frac{451}{41%}$
	Number of blue marbles at the start 100%	→ $\frac{451}{41%}$ x $\frac{100%}{1}$
		= 1100

Answer: 1800

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%	→180
	1%	→ $\frac{180}{10%}$
	Number of blue marbles at the start 100%	→ $\frac{180}{10%}$ x $\frac{100%}{1}$
		= 1800

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 48% increase	→100% + 48%
		= 148%
Step 4:	Difference in % of marbles	→148% - 75%
		= 73%
Step 5:	73%	→438
	1%	→ $\frac{438}{73%}$
	Number of blue marbles at the start 100%	→ $\frac{438}{73%}$ x $\frac{100%}{1}$
		= 600