Enter the simplified equation that represents the total number of laps Beth and Sherry swam

Question

Beth and Sherry partnered together in swimming laps to raise money for the local food bank. Beth raised $15 plus $0.65 per lap that she swam. Sherry raised $10 plus $0.75 per lap that she swam. Beth swam 4545 the number of laps Sherry swam. Together they raised a total of $152.00.

Let x represent the number of laps Sherry swam.



Enter the simplified equation that represents the total number of laps Beth and Sherry swam in the first box and the amount of laps Beth swam in the second box.

Answer 1

S = 10+ (3/4)x or = 10 + .75x

B = 15 + .65x

if they each swam the same number of laps then

152 = 10 +.75x + 15 + .65x = 25 + 1.4x

1.4x = 152 -25 = 127

x = 127/1.4 = about 91 laps each

if Beth swam 45 times the number of laps that Sherry swam

then S=10 + .75x and B=15 + .65(45x) = 15 + .29.25x

152 = 25 + 30x

x = 127/30 = 4.2333.. laps for Sherry

45x = 190 1/2 laps for Beth