Hoq do i solve this?

Question

Arnold went shopping at The Link with $80 to spend. He spent $12 on a belt and $20 for a shirt. Write an inequality to represent how much he can spend on pants, x.

Answer 1

Hi Trinity, 

In order to solve this problem, we follow these steps:

Step One: Create a Let statement

Let x= how much money he can spend on pants

Step Two: Create an equation to relate the total cost and all priced items:

We know that the money that Arnold has must be greater than or equal to the cost of all of new items purchased (or else he doesn't have enough money to pay for the new items!)

(Money that Arnold has)≥ (belt cost)+(shirt cost)+(pants cost)

80≥(12)+(20)+(x) Simplify

80≥32+x Subtract 32 from both sides

80-32≥x Simplify

48≥x

∴ The inequality 48≥x represents how much Arnold can spend on pants, x.

Best, 

Star

Answer 2

The amount Arnold had to spend on pants would have to be less or equal to the $80 minus the $12 for a belt and the $20 for a shirt.

 

x ≤ $80 - 12 - 20

 

x ≤ $48