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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 :

MrRoyal

Answer:

[tex]Cost = \$120 * 1 - \$120 * 0.25[/tex]

Step-by-step explanation:

Given

[tex]Cost = \$120 - 0.25(\$120)[/tex]

Required

Solve using distributive property

[tex]Cost = \$120 - 0.25(\$120)[/tex]

[tex]\$120[/tex] can be rewritten as [tex]1(\$120)[/tex]

So:

[tex]Cost = 1(\$120) - 0.25(\$120)[/tex]

Factorize:

[tex]Cost = \$120(1 - 0.25)[/tex]

Now, we can apply distributive property on the expression;

[tex]Cost = \$120 * 1 - \$120 * 0.25[/tex]

Hence, the above is an equivalent expression.

Solving further, we have

[tex]Cost = \$120 - \$30[/tex]

[tex]Cost = \$90[/tex]

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