Question

A baker uses 131 2 cups of flour to make key lime bread. She uses 21 4 cups of flour to make each loaf. The baker sells 2 3 of the loaves of bread that she makes. Which expression shows how many loaves of key lime bread the baker sells?

Answer 1

The baker sells 4 loafs of bread

Explanation:

Here we have the baker uses
`13(1)/(2)` cups of flour to make key lime bread

One loaf of bread is said to contain
`2(1)/(4)` cups of flour

The baker sells only
`(2)/(3)` out of the made bread

The number of bread baked with
`13(1)/(2)` cups of flour and
`2(1)/(4)` cups per loaf of bread is

`\frac{13(1)/(2)\hspace{0.09cm} cups \hspace{0.09cm} of \hspace{0.09cm} flour}{2(1)/(4)\hspace{0.09cm} cups \hspace{0.09cm} of \hspace{0.09cm} flour \hspace{0.09cm} per \hspace{0.09cm} loaf } = (27)/(2) /(9)/(4) = 6\hspace{0.12cm} Loafs \hspace{0.09cm} of \hspace{0.09cm} bread`

Where
`13(1)/(2) = (27)/(2)` and
`2(1)/(4)=(9)/(4)`

The baker sells only
`(2)/(3)` out of the made bread

=
`(2)/(3) * 6\hspace{0.12cm} Loafs \hspace{0.09cm} of \hspace{0.09cm} bread` = 4 Loafs of bread sold.

Answer 2

She sells 4 loaves of key lime bread

Explanation:

Extracting the key information from the question:

*** A baker uses 13 1/2 cups of flour to make key lime bread

*** She uses 2 1/4 cups to make each loaf.

*** She sells 2/3 of the loaves of bread that she makes.

Now, since she uses 2 1/4 to make each loaf, we will convert this into improper fraction.

2 1/4 = [(4×2)+1]/4 = 9/4

She uses a total of 13 1/2 cups of flour to make all loaves.

To find the number of loaves she makes, we will divide the overall quantity of flour used by the quantity used to make a loaf

13 1/2 ÷ 2 1/4

Since 13 1/2 and 2 1/4 are the same as 27/2 and 9/4 respectively (mixed to improper fractions), we will then divide 27/2 by 9/4

= 27/2 × 4/9 = 6 loaves (total bread she makes).

Again, we learnt she sells 2/3 of the total loaves she makes.

Since total = 6, then 2/3 of 6 is:

2/3 × 6 = 4 loaves .

Therefore, the baker sells 4 loaves of key lime bread.