Question

Raquel and her brother Marcus are huge sports fans. Combined they own 15 sports jerseys. Raquel owns double the amount of Marcus's jerseys plus an additional three. Use x to represent Marcus's amount of jerseys and y to represent Raquel's amount of jerseys.

Answer 1

`x = 4` -- Marcus

`y = 11` -- Raquel

Explanation:

Given

`x =Marcus`

`y = Raquel`

`x + y = 15` -- Both

`y = 2x + 3` -- Raquel

Required

Determine x and y

Substitute 2x + 3 for y in
`x + y = 15`

`x + 2x + 3 = 15`

`3x + 3 = 15`

Collect Like Terms

`3x = 15-3`

`3x = 12`

Divide both sides by 3

`x = 4`

Substitute 4 for x in

`y = 2x + 3`

`y = 2 * 4 + 3`

`y = 8 + 3`

`y = 11`