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

Answer:

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

Step-by-step 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

$x=\frac{y}{2} +6$ ---> equation B

Solve the system by substitution    

Substitute equation B in equation A

$\frac{y}{2} +6+y=42$

solve for y

$\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24$

Find the value of x

$x=\frac{24}{2} +6=18$

therefore

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