Question

On the weekend Peter played 4 more games than Anthony did, and together they played 14 games. How many games did Anthonyplay?. Show your work

Answer 1

Peter: P

Anthony: A

Peter played 4 more games than Anthony did

P=A+4

together they played 14 games.

P+A= 14

So, we have the system of equations:

P = A+4 (a)

P+A =14 (b)

Put (a) into (b)

(A+4)+A =14

Solve for A:

A+4 +A =14

2A+4 =14

2A=14-4

2A=10

A=10/2

A=5 (c)

(c) into (a)

P=A+4

P = 5+4

P=9

Anthony played 5 games