Question

Sally has six more 34 cent stamps than 52 cent stamps. If her stamps amount to 11.50 how many of each stamp does she have?

Answer 1

Answer-

She has 11 number of 52 cent stamps and 17 number of 34 cent stamps.

Solution-

Given that, Sally has six more 34 cent stamps as compared to 52 cent stamps.

Let us assume, she has x number of 52 cent stamps and then the number of 34 cent stamps will be x+6

Then, the worth of her stamps will be,

$=(x\times 0.52)+((x+6)\times 0.34)$

Given the fact that, her stamps amount to 11.50

$\Rightarrow (x\times 0.52)+((x+6)\times 0.34)=11.50$

$\Rightarrow (0.52x)+(0.34x+2.04)=11.50$

$\Rightarrow 0.86x+2.04=11.50$

$\Rightarrow 0.86x=9.46$

$\Rightarrow x=\frac{9.46}{0.86}=11$

Therefore, she has 11 number of 52 cent stamps and 17 number of 34 cent stamps.

Answer 2

Let x be the number of 52 cent stamps that Sally has and let y be the number of 34 cent stamps that she has.

Then,

52x + 34y = 1150 --- (1)

Also, she has six more 34 cent stamps than 52 cent stamps.

Therefore, y = x + 6

(1) becomes

52x + 34(x + 6) = 1150

52x + 34x + 204 = 1150

86x + 204 = 1150

86x = 1150 - 204

86x = 946

x = 11

and y = 11 + 6 = 17

Hence, Sally has eleven 52 cent stamps and seventeen 34 cent stamps.