Question

gertrude won the jump rope contest four more times than elena. they have won a combined total of 18 jump rope contest. write and solve a system of equations to find the number of contest Gertrude won and the number of contest Elana won

Answer 1

Gertrude won 11 jump rope contests and Elena won 7 jump rope contests.

Step-by-step explanation:

Let's use variables to represent the number of jump rope contests won by Gertrude and Elena. Let G represent the number of contests won by Gertrude, and E represent the number of contests won by Elena.

We can form two equations based on the given information:

1. Gertrude won the contest four more times than Elena, so G = E + 4.

2. The total number of contests won is 18, so G + E = 18.

We have a system of equations:

• G = E + 4
• G + E = 18

Solving this system of equations, we can substitute the value of G from the first equation into the second equation:

• (E + 4) + E = 18
• 2E + 4 = 18
• 2E = 14
• E = 7

Substituting the value of E back into the first equation:

• G = 7 + 4
• G = 11

Therefore, Gertrude won 11 jump rope contests and Elena won 7 jump rope contests.