A bakery makes 15 pies. They sell pieces that are 1/4 of the pie. How many pieces can they sell from 15 pies? How do you write an expression and solve?

2 Answers

There are 15 pies (let xx be 15)

Let y be the number of pieces they can sell in total

Each pie can be sold in 4 pieces: 15xx415×4

Therefore, x xx4=yx×4=y

15xx4=y15×4=y

y=60y=60

May 28, 2018

See a solution process below:

Explanation:

Let's call the number of pieces we are looking for: pp

We can then write and solve this equation using ratios:

(4"pieces")/(1"pie") = p/(15"pie")4pieces1pie=p15pie

color(red)("pie") * (4"pieces")/(1"pie") = color(red)("pie") * p/(15"pie")pie4pieces1pie=piep15pie

cancel(color(red)("pie")) * (4"pieces")/(1color(red)(cancel(color(black)("pie")))) = cancel(color(red)("pie")) * p/(15color(red)(cancel(color(black)("pie"))))

(4"pieces")/1 = p/15

(4"pieces") = p/15

color(red)(15) * (4"pieces") = color(red)(15) * p/15

60"pieces" = cancel(color(red)(15)) * p/color(red)(cancel(color(black)(15)))

60"pieces" = p

15 pies would produce 60 pieces to sell.