Question

The local ice cream parlor sells small, medium, and large dishes of ice cream. One family

purchased a small, medium, and large dish for $21. A second family purchased three small, one
medium, and one large dish for $31. A third family purchased one small, one medium, and two
large dishes for $31. Determine the price of each product size.

Answer 1

Answer:Small dish (S) = $5

Medium dish (M) = $6

Large dish (L) = $10

Explanation:

From the first family's purchase:

S+M+L=21

From the second family's purchase:

3S+M+L=31

From the third family's purchase:

S+M+2L=31

(3S+M+L)−(S+M+L)=31−21

2S=10

S=5

Now that we know the price of a small dish (S), we can substitute it into equation 1 to find M:

5+M+L=21

M+L=16

5+M+2L=31

M+2L=26

(M+2L)−(M+L)=26−16

M+10=16

M=6

So, the prices of each product size are as follows:

Small dish (S) = $5

Medium dish (M) = $6

Large dish (L) = $10