Question

For a sale, a store decreases its prices on all items by 25%. An item that costs $120 before the sale now costs $120 - 0,25($120). Use the distributive property to write an equivalent expression for the items cost now

Answer 1

`Cost = \$120 * 1 - \$120 * 0.25`

Explanation:

Given

`Cost = \$120 - 0.25(\$120)`

Required

Solve using distributive property

`Cost = \$120 - 0.25(\$120)`

`\$120` can be rewritten as
`1(\$120)`

So:

`Cost = 1(\$120) - 0.25(\$120)`

Factorize:

`Cost = \$120(1 - 0.25)`

Now, we can apply distributive property on the expression;

`Cost = \$120 * 1 - \$120 * 0.25`

Hence, the above is an equivalent expression.

Solving further, we have

`Cost = \$120 - \$30`

`Cost = \$90`