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Mathematics

Grade-8

Easy

Question

Teresa earns a weekly salary of $925 and a 5% commission on her total sales. Ramon earns a weekly salary of $1,250 and a 3% commission on sales. The number of sales for which the same amount is earned for the week is.

$1,250
$1,450
$1,550
$16,250

The correct answer is: $16,250

$space x space equals space 16 comma 250 space i s space t h e space c o r r e c t space c h o i c e l e t space t o t a l space s a l e s space equals space $ x s o space 5 percent sign space o s space x space equals space 5 over 100 x space equals space 0.05 x a n d space 3 percent sign space o f space x space equals space 0.03 x space t h e r e f o r e 0.05 x space plus space 925 space equals 0.03 x space plus space 1 comma 250 space space left parenthesis space a c c o r d i n g space t o space q u e s t i o n space right parenthesis 0.05 x space minus space 0.03 x space equals space 1250 space minus space 925 space 0.02 x equals space 1 comma 250 space – space 925 space space 0.02 x space equals space 325 space space space x space equals fraction numerator 325 over denominator 0.02 end fraction space equals space fraction numerator 325 cross times 100 over denominator 0.02 cross times 100 end fraction space space equals space 32500 over 2 space space space space space space space space space space space space space space space space space space space space x space equals space 16 comma 250 space i s space t h e space a n s w e r$

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