Annette and June bowled together and had a combined score of 425. June's score was 25 less than Annette's score. What are their scores?

1 Answer
May 7, 2018

Annette's score was 225 and June's score was 200.

Explanation:

I'm going to give "Annette's score" the variable a, and "June's score" the variable j.

Now I'll use the two facts that they gave to make two equations.

stackrel(a + j)overbrace"They had a combined score"stackrel(=)overbrace"of"stackrel(425)overbrace"425"

1) a + j = 425

stackrel(j)overbrace"June's score" " " stackrel(=)overbrace"was" " "stackrel(a - 25)overbrace"25 less than Annette's score"

2) j = a - 25

Now substitute that second equation into the first one:

a + j = 425

a + (a - 25) = 425

2a - 25 = 425

2a = 450

a = 225

Now substitute a into another equation to find j:

j = a - 25

j = (225) - 25

j = 200