Question

The student council sold two types of ice cream, sundaes and cones, during homecoming week. Each sundaes cost the same amount, and each cones cost the same amount.

One the first day they earned $210 for selling 125 cones and 10 sundaes

One the second day they earned $256 for selling 100 cones and 30 sundaes.

What was the cost in dollars for each cone sold by the student council?

Answer 1

1 cone = $1.36

Explanation:

125 c + 10 s = $210

100 c + 30 s = $256

make one of the terms the same (easier one = 30 sundaes)

125 × 3 = 375 c

10 × 3 = 30 s

210 × 3 = $630

375 c + 30 s = $630

375 c + 30 s = $630

100 c + 30 s = $256

same sign = subtract

375 - 100 = 275 c

30 - 30 = 0 s

630 - 256 = $374

275 c = $374

÷ 275 on both sides to get c

c = $1.36