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Marvin is buying a watch from his brother for [tex]\$170[/tex]. His brother tells him that he can pay [tex]\$50[/tex] down and the rest in 10 equal installments.

Which equation will help Marvin figure out how much his payments will be?

Let [tex]x[/tex] be one installment.

Choose the correct equation:

A. [tex]170 - 50 = 10x[/tex]

B. [tex]170 = 50 + 10x[/tex]

C. [tex]170 + 10x = 50[/tex]

D. [tex]170 + 50 = 10x[/tex]

Answer :

Marvin needs to pay \[tex]$170 for the watch. He pays \$[/tex]50 as a down payment and will pay the remaining amount in 10 equal installments. We can set up the equation by following these steps:

1. First, calculate the remaining amount after the down payment:
[tex]$$170 - 50 = 120.$$[/tex]
So, the total remaining amount is \[tex]$120.

2. Let $[/tex]x[tex]$ be the amount of one installment. Since there are 10 installments, the total of the installment payments is:
$[/tex][tex]$10x.$[/tex][tex]$

3. The total cost of the watch is the sum of the down payment and the total installment payments:
$[/tex][tex]$170 = 50 + 10x.$[/tex][tex]$

Thus, the equation that helps Marvin figure out his installment payment is:
$[/tex][tex]$170 = 50 + 10x.$[/tex]$

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