Question

Marni and Sharika partnered together in a dance-a-thon to raise money for the Humane Society. Marni raised $18 plus $0.80 per minute she danced. Sharika raised $12 plus $0.90 per minute she danced. Marni danced 3434 as many minutes as Sharika danced. Together they raised a total of $264.

Let x equal the number of minutes Sharika danced.



Enter the simplified equation that represents the total number of minutes Marni and Sharika danced in the first box and how many minutes Marni danced in the second box.

Answer 1

I'm assuming that the 3434 is a typo error. It should be 34.

Marni: 18 + 0.80m
Sharika: 12 + 0.9m

x = Sharika's minutes
x + 34 = Marni's minutes

[18 + 0.80(x+34)] + [12 + 0.90(x)] = 264
18 + 0.80x + 27.2 + 12 + 0.90x = 264
0.80x + 0.90x = 264 - 18 - 27.2 - 12
1.70x = 206.80
x = 206.80/1.70
x = 121.65 or 122

x + 34 = 122 + 34 = 156 minutes.