Question

At the ice cream shoppe,

one banana split and five
milkshakes cost $16.24 IP
three banana splits and
two milkshakes cost
$15.05, find the cost of
a milkshake.​

Answer 1

$2.59

Explanation:

Let b and m represent the costs of a banana split and a milkshake, respectively. Then the two purchases are ...

b +5m = 16.24

3b +2m = 15.05

Subtracting the second equation from 3 times the first, we have ...

3(b +5m) -(3b +2m) = 3(16.24) -(15.05)

13m = 33.67 . . . . . . simplify

m = 2.59 . . . . . . . . . divide by 13

The cost of a milkshake is $2.59.