Question

A baker uses 13 1/2 cups of flour to make bread. She uses 2 1/4 cups of flour to make each loaf. The baker sells 2/3 of the loaves of bread that she makes how many loaves of bread does the speaker sell

Answer 1

She sells 4 loaves of bread

Explanation:

Lets explain how to solve the problem

→ A baker uses
`13(1)/(2)` cups of flour to make bread

→ She uses
`2(1)/(4)` cups of flour to make each loaf

From these information we can find the number of loaves of bread

she can make

∵ There are
`13(1)/(2)` cups of flour

∵ Each loaf of bread needs
`2(1)/(4)` cups of flour

∴ The number of loaves =
`13(1)/(2)` ÷
`2(1)/(4)`

To divide two mixed numbers make them improper fractions and

change the division sign to multiplication sign and reciprocal the

fraction after the division sign

∵
`13(1)/(2)` =
`((13)(2)+1)/(2)`

∴
`13(1)/(2)` =
`(27)/(2)`

∵
`2(1)/(4)` =
`((2)(4)+1)/(4)`

∴
`2(1)/(4)` =
`(9)/(4)`

∴ The number of loaves =
`(27)/(2)` ×
`(4)/(9)`

∴ The number of loaves = 6

She can make 6 loaves

→ The baker sells
`(2)/(3)` of the loaves of bread that she makes

→ We need to find the number of loves of bread she sells

∵ She sells
`(2)/(3)` of the loaves

∵ There are 6 loves

∴ The number of loaves she sells = 6 ×
`(2)/(3)` = 4

She sells 4 loaves of bread