Question

Gary ran 6 more laps than Edwin during track practice. Together they ran 40 laps. Write a system of equations that represents this situation.

Answer 1

This can be represented using a system of equations. The first equation is Gary's total number of laps (letting G represent Gary's laps): G = 6 + Edmund's laps. The second equation is Edmund's total number of laps, letting E represent Edmund's laps: E + 6 = 40. Combining these two equations, we get G = E + 6 and E + 6 = 40, which becomes G = 40 - 6 and E = 40 - 6. Thus, the system of equations is G = 40 - 6 and E = 40 - 6.

Answer 2

1. e + g = 40
2. g - 6 = e

Step-by-step explanation: Hello!

You know that Gary ran 6 more laps than Edwin during track practice. Let's represent Edwin as the variable (e) and Gary as the variable (g). You also know that together they ran 40 laps. Since g ran 6 more laps than e and they both ran 40 laps combined, the following system of equations can represent this situation.

e + g = 40
g - 6 = e or e + 6 = g