At the Lakewood Ice Cream Parlor, one group of friends ordered 3 small servings of ice cream and 3 large servings of ice cream for $24. Another group of friends ordered 2 small servings of ice cream and 4 large servings of ice cream for $28. How much does the ice cream cost?

Question

The ice cream costs $
for a small serving and $
for a large serving.

Answer 1

3 s + 3 b = 24
2 s+ 4 b = 28
multiply first by 4 and second by 3
12 s + 12 b = 96
6 s + 12 b = 84
------------------------ subtract
6 s = 12
s = 2
Your turn

Answer 2

cost of small --- x
cost of large ---- y

3x + 3y = 24 ----> x + y = 8
2x + 4y = 28 ----> x + 2y = 14
subtract them:
y = 6
sub into x+y = 8 mentally to get x = 2

Answer 3

so one small and 1 large is $8
s+l = 8
s+2l = 14
subtract and you get large = 6
so small = 2
check:
3*2+3*6 = 24 ✅
2*2 + 4*6 = 28 ✅

Answer 4

ROTFL !!!!