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 25%, 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 47%, there are now 462 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 28%, there are now 106 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 41%, there are now 360 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 216 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 53%, there are now 240 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 400 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 39%, there are now 170 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 49%, there are now 444 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 27%, there are now 286 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

Answer: 900

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 25% increase	→100% + 25%
		= 125%
Step 4:	Difference in % of marbles	→125% - 75%
		= 50%
Step 5:	50%	→450
	1%	→ $\frac{450}{50%}$
	Number of blue marbles at the start 100%	→ $\frac{450}{50%}$ x $\frac{100%}{1}$
		= 900

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 47% increase	→100% + 47%
		= 147%
Step 4:	Difference in % of marbles	→147% - 105%
		= 42%
Step 5:	42%	→462
	1%	→ $\frac{462}{42%}$
	Number of blue marbles at the start 100%	→ $\frac{462}{42%}$ x $\frac{100%}{1}$
		= 1100

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 28% increase	→100% + 28%
		= 128%
Step 4:	Difference in % of marbles	→128% - 75%
		= 53%
Step 5:	53%	→106
	1%	→ $\frac{106}{53%}$
	Number of blue marbles at the start 100%	→ $\frac{106}{53%}$ x $\frac{100%}{1}$
		= 200

Answer: 1000

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 41% increase	→100% + 41%
		= 141%
Step 4:	Difference in % of marbles	→141% - 105%
		= 36%
Step 5:	36%	→360
	1%	→ $\frac{360}{36%}$
	Number of blue marbles at the start 100%	→ $\frac{360}{36%}$ x $\frac{100%}{1}$
		= 1000

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 29% increase	→100% + 29%
		= 129%
Step 4:	Difference in % of marbles	→129% - 75%
		= 54%
Step 5:	54%	→216
	1%	→ $\frac{216}{54%}$
	Number of blue marbles at the start 100%	→ $\frac{216}{54%}$ x $\frac{100%}{1}$
		= 400

Answer: 500

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 53% increase	→100% + 53%
		= 153%
Step 4:	Difference in % of marbles	→153% - 105%
		= 48%
Step 5:	48%	→240
	1%	→ $\frac{240}{48%}$
	Number of blue marbles at the start 100%	→ $\frac{240}{48%}$ x $\frac{100%}{1}$
		= 500

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 55% increase	→100% + 55%
		= 155%
Step 4:	Difference in % of marbles	→155% - 75%
		= 80%
Step 5:	80%	→400
	1%	→ $\frac{400}{80%}$
	Number of blue marbles at the start 100%	→ $\frac{400}{80%}$ x $\frac{100%}{1}$
		= 500

Answer: 500

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 39% increase	→100% + 39%
		= 139%
Step 4:	Difference in % of marbles	→139% - 105%
		= 34%
Step 5:	34%	→170
	1%	→ $\frac{170}{34%}$
	Number of blue marbles at the start 100%	→ $\frac{170}{34%}$ x $\frac{100%}{1}$
		= 500

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 49% increase	→100% + 49%
		= 149%
Step 4:	Difference in % of marbles	→149% - 75%
		= 74%
Step 5:	74%	→444
	1%	→ $\frac{444}{74%}$
	Number of blue marbles at the start 100%	→ $\frac{444}{74%}$ x $\frac{100%}{1}$
		= 600

10)

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 27% increase	→100% + 27%
		= 127%
Step 4:	Difference in % of marbles	→127% - 105%
		= 22%
Step 5:	22%	→286
	1%	→ $\frac{286}{22%}$
	Number of blue marbles at the start 100%	→ $\frac{286}{22%}$ x $\frac{100%}{1}$
		= 1300