Question

2. Long's Coffee Shop sells a refill mugs for $8.95. Each refill costs $1.50. Last

month, Alice spent $26.95 on a mug and refills. Write an equation that can be
used to determine how many refills that Alice purchased.

Answer 1

`1.50R = 18.0`

Explanation:

Given

Represent Mugs with M and Refills with R

`M = \$8.95`

`R = \$1.50` per refill

`Total = \$26.95`

Required

Determine the equation

If 1 refill costs $1.50, then

R refills will cost 1.50 * R

The relationship between the given parameters is:

`Total = M + Refills`

Substitute values for Total, M and Refills

`26.95 = 8.95 + 1.50*R`

`26.95 = 8.95 + 1.50R`

Solve for 1.50R

`1.50R = 26.95 - 8.95`

`1.50R = 18.0`

Hence, the equation to solve the value of R is
`1.50R = 18.0`