Answer:
19 matches which is 6 more than Janet’s
Step-by-step explanation:
Let the matches won by Ellen be A and Janet be B
Given they both won 32 matches
That’s
A + B = 32
And Ellen won 6 more than Janet
That’s
A = 6 + B
So we now have two equations
1. A + B = 32
2. A = 6 + B
Substitute B + 6 for A in the first equation
We have
A + B = 32
6 + B + B = 32
6 + 2B = 32
Subtract 6 from both sides
6 - 6 + 2B = 32 - 6
2B = 26
Divide both sides by 2
2B/2 = 26/2
B = 13
Recall
A = 6 + B
Therefore
A = 6 + 13
A = 19
Ellen won 19 matches which is 6 more than Janet’s
