The coach of a lacrosse team bought ice cream cones to celebrate a victory. A single-scoop cone was $3 and a double-scoop cone was $5. The coach bought 15 cones and paid $57. A system of equations describing this situation could be written in the form below where s represents the number of single cones and d represents the number of double cones. What is the sum of A, B, C and E?

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adefunkeadewole adefunkeadewole · Answer 1 · 2021-04-28T02:22:10+02:00

Answer:

The number of

Single scoop cones = s = 9

Double scoop cones = d = 6

Step-by-step explanation :

Let t he number of

Single scoop cones = s

Double scoop cones = d

A single-scoop cone was $3 and a double-scoop cone was $5. The coach bought 15 cones and paid $57.

The system of equation

= s + d = 15.. Equation 1

s = 15 - d

3s + 5d = 57.... Equation 2

We substitute 15 - d for s

3(15 - d) + 5d = 57

45 - 3d + 5d = 57

Collect like terms

- 3d + 5d = 57 - 45

2d = 12

d = 12/2

d = 6

Solving for s

s = 15 - d

s = 15 - 6

s = 9

Therefore,

The number of

Single scoop cones = s = 9

Double scoop cones = d = 6