Question

Please help

Jason spent $15.75
on art supplies.

This is $3.90
more than Andreas spent on art supplies.

Which equations represent this situation, including the amount that Andreas spent on art supplies?

A.) a−3.90=15.75
a=19.65

B.) 3.90+a=15.75
a=11.85

C.) a+3.90=15.75
a=19.65

D.) 3.90−a=15.75
a=11.85

Answer 1

B.) 3.90+a=15.75; a=11.85

Explanation:

You want an equation and solution that represents the amount Andreas spent if Jason spent $15.75, and that was $3.90 more than Andreas spent.

Equation

If the amount Andreas spent is represented by 'a', then "$3.90 more" will be represented by (3.90 +a).

We are told this is equal to the $15.75 that Jason spent, so we have the equation ...

3.90 +a = 15.75 . . . . . . . . matches choices B and C

Solution

The solution to this equation is found by subtracting 3.90 from both sides:

3.90 +a -3.90 = 15.75 -3.90

a = 11.85 . . . . . . . . . . . . . . matches choice B

The equations representing the scenario are ...

3.90 +a = 15.75

a = 11.85 . . . . . . . . . . . choice B

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