Question

13.4.5 Question Help Abusload of campers stopped at a dairy stand for ice cream. They ordered 87 cones, some soft-serve at $1.25 each and the rest hard-pack at $1.00 each. If the total bill was $97.75. how many of each type of cone were ordered?

Answer 1

• The number of soft-serve ice cream cones ordered = 43

,

• The number of hard-pack ice cream cones ordered =44

Step-by-step explanation:

The number of ice-cream cones ordered = 87

• Let the numbers of soft-serve ice cream cones ordered at $1.25 each = x

,

• Thus, the number of hard-pack ice cream cones ordered at $1.00 each = 87-x

`\text{Total cost}=1.25x+1(87-x)`

Since the total bill was $97.75:

`1.25x+1(87-x)=97.75`

We solve for x.

`\begin{gathered} 1.25x-x=97.75-87 \\ 0.25x=10.75 \\ x=(10.75)/(0.25) \\ x=43 \end{gathered}`

• The number of soft-serve ice cream cones ordered = 43

,

• The number of hard-pack ice cream cones ordered = 87-43 =44