Question

11.) You have $49.99 to spend for a pair of jeans. The sales tax is 7%. What is the

most the jeans can cost?
A) $46.49
B) $46.72
C) $29.41
D) $45.16

Answer 1

B) $46.72

Explanation:
The problem can be expressed as an equation you solve for "y"
y + y * 0.07 = 49.99

We factor out the "y" from the equation and we get
y * (1 + 0.07) = 49.99

Which is the same as
y * 1.07 = 49.99

We can then divide by 1.07 both sides
y = 49.99 / 1.07

Which yields
y = 46.719

If rounding is allowed the answer is B, otherwise the answer is A. I'll go with the rounded one

Answer 2

B) $46.72

Explanation:

Let j = cost of the jeans

j * 1.07 is the cost of the jeans with tax

j * 1.07 = 49.99

Divide each side by 1.07

j * 1.07 /1.07 = 49.99 / 1.07

j =46.72

The jeans can cost no more than 46.72