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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?

Respuesta :

mhanifa

Answer:

$5 and $3

Step-by-step 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

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