Chapter ISG, Problem 5.1.1.7P

To determine

To Write and solve an inequality to determine number of pairs of shoes purchased by J

Answer to Problem 5.1.1.7P

  $40x+75\le 190$

  $x=2$

Explanation of Solution

Given information:

J has $190

He buys a video game costing $55

He buys a T-shirt costing $20

Calculation:

Let the number of pairs of shoes purchased by J be $x$

Cost of 1 pair of shoes is $40

Therefore cost of x pairs of shoes will be $40\times x$

Total money spent by J =Cost of video game +Cost of T-shirt +Cost of x pairs of shoes

Total money spent by J = $55+20+40x$

Now according to question:-

  $55+20+40x\le 190$

  $75+40x\le 190$

Subtracting 75 from both sides of the inequality

  $75+40x-75\le 190-75$

  $40x\le 115$

  $x\le 2.875$

But pair of shoes cannot be in fraction

Therefore $x=2$

So number of pairs of shoes purchased by J is Two.