Question

At an ice cream store, a family ordered 1 banana split and 2 hot fudge sundaes, paying a total of $11 for their order. The next customer ordered 4 banana splits and 3 hot fudge sundaes and paid $29. How much does each item cost?

Answer 1

$5 and $3

Explanation:

Cost of banana split = b

Cost of hot fudge sundae = s

• b + 2s = 11
• 4b + 3s = 29

From the first equation we get:

• b = 11 - 2s

Replacing in the second equation:

• 4(11 - 2s) + 3s = 29
• 44 - 8s + 3s = 29
• 44 - 29 = 5s
• 15 = 5s
• s = 15/5
• s = 3

Then

• b = 11 - 2*3 = 11 - 6 = 5

So banana split costs $5 and hot fudge sundae costs $3