Question

Pete's dad usually deposits $25 into his account every week, and he wants the extra amount deposited to be the same each week. Which inequality and solution show how much more he can deposit each week and keep the total of his deposits above $500 for those 8 weeks?

Answer 1

Answer : 8(25+x) >500 ; x>37.5

Step-by-step explanation:

Given,

Usual deposit  per week= $25

Let x be the extra amount.

New amount will be= 25+x  ( per week)

Amount need to be deposited 8 weeks = 8(25+x)

As per given,

$8(25+x)>500$   [Required inequality]

$\Rightarrow\ (25+x)>\dfrac{500}{8}\\\\\Rightarrow\ x>\dfrac{500}{8}-25$

$\\\\\Rightarrow\ x>37.5$  [Required solution]