Violet and Juan work at a furniture store. Violet is paid $200 per week plus 10% of her total sales in dollars, xx, which can be represented by g (x) = 200+0.1xg (x) = 200+0.1x. Juan is paid $785 per week plus 5.5% of his total sales in dollars, xx, which can be represented by f (x) = 785+0.055xf (x) = 785+0.055x. Determine the value of xx, in dollars, that will make their weekly pay the same.

Question

Mathematics

Landen Wall

30 June, 21:55

Violet and Juan work at a furniture store. Violet is paid $200 per week plus 10% of her total sales in dollars, xx, which can be represented by g (x) = 200+0.1xg (x) = 200+0.1x. Juan is paid $785 per week plus 5.5% of his total sales in dollars, xx, which can be represented by f (x) = 785+0.055xf (x) = 785+0.055x. Determine the value of xx, in dollars, that will make their weekly pay the same.

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Answers (1)

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Sarahi · Answer 1

1495 will make the weekly value the same.

Step-by-step explanation:

Ok cool, so first let's set up an equation.

200 + 0.1x = 785 + 0.55x

Let's solve!

Subtract 200 on both sides to maintain equality.

0.1x = 585 + 0.55x, Subtract 0.55x on both sides to also maintain equality!

.45x = 585

Lets multiply both sides by 2 5/9.

x = 1495.

1495 will make the weekly value the same.