Question

Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Answer 1

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Explanation:

The correct question is

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

`x+y=42` ----> equation A

Frank has 6 more than half the number of cards as his friend

`x=(y)/(2) +6` ---> equation B

Solve the system by substitution

Substitute equation B in equation A

`(y)/(2) +6+y=42`

solve for y

`(3)/(2)y=42-6\\\\(3)/(2)y=36\\\\y=36(2)/3=24`

Find the value of x

`x=(24)/(2) +6=18`

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.