Question

Sam bought 15 pies and 7 slices of cake for $55.25. If each pie cost 2/5 as much as a slice of cake, what was the total cost of 1 pie and 2 slices of cake​

Answer 1

Answer: $10.20

Explanation:

Let's first collect the information from the word problem.

We are told:

• Bought 15 pies and 7 cake slices

• Total cost was $55.22.
• Pies cost
  `(2)/(5)` as much as a slice of cake

We need to solve for:

• Total cost of 1 pie and 2 cake slices

1. Create an equation/expression:

To solve the problem, we need to find the price of a pie and cake slice.

Using the information gathered, the equation is:

`55.25 = 7x+15((2)/(5) x)`

x = the cost of the slice of cake.

2. Simplify/Solve

`55.25 = 7x+15((2)/(5)x)\\55.25 = 7x+15*(2)/(5)*x\\55.25 = 7x+6x\\55.25 = 13x\\4.25 = x`

• Great! we have the price of a slice of cake. ($4.25)

Remember that the pie is
`(2)/(5)` of a slice of cake, so now find the price of the pies.

Pie =
`(2)/(5) 4.25`

Pie = $1.70

• Awesome! We know a slice of cake costs $4.25 and a slice of pie costs $1.70.

3. Check your work!

Check to make sure the math is done correctly!

`55.25=7(4.25)+15(1.70) \\55.25=29.75+25.50\\55.25=55.25`

Good! It is verified that our calculations are correct.

4. Solve!

1 pie and 2 cakes cost:
`1.70+2(4.25)`

• $10.20 is our final answer!

• Hope this helped!~~ -Astro