Question

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?

Answer 1

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`