Question

Toni and Marcy partnered together in running laps around a track to raise money for the Children's Hospital's playroom. Toni raised $20 plus $0.80 per lap that he ran. Marcy raised $15 plus $0.85 per lap that she ran. Toni swam 114114 times as many laps as Marcy swam. Together they raised a total of $257.00. Let x represent the number of laps Marcy swam. Enter the simplified equation that represents the total number of laps Toni and Marcy swam in the first box and the amount of laps Toni swam in the second box.

Answer 1

I am assuming that 114114 is actually 114.

Toni: 20 + 0.80/lap
Marcy: 15 + 0.85/lap

Marcy: x laps
Toni: 114x laps

[20 + 0.80(114x)] + [15 + 0.85x] = 257
20 + 91.2x + 15 + 0.85x = 257
92.05x = 257 - 35
92.05x = 222
x = 222/92.05
x = 2.41 laps

Marcy: x = 2.41 laps
Toni: 114x = 114(2.41) = 274.74 laps

20 + 0.80(274.74) = 20 + 219.79 = 239.79 or 240
15 + 0.85(2.41) = 15 + 2.05 = 17.05 or 17

240 + 17 = 257