Question

Juan and Franco collect baseball cards. Juan has baseball cards. Franco has 18 fewer baseball cards than Juan. Together they have 150 baseball cards. How many baseball cards does Franco have?

Answer 1

Franco has 66 baseball cards.

Explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of baseball cards that Franco has.

y is the number of baseball cards that Juan has.

Franco has 18 fewer baseball cards than Juan.

This means that:

`x = y - 18`

Also:

`y = x + 18`

Together they have 150 baseball cards.

This means that:

`x + y = 150`

Since
`y = x + 18`

`x + x + 18 = 150`

`2x = 132`

`x = (132)/(2)`

`x = 66`

Franco has 66 baseball cards.