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A baker uses 3 cups (c) of flour to bake 2 loaves of bread. If 1 pound (lb) of flour is equivalent to
3(1)/(3)c, how many loaves of bread can the baker make with a
10lb-bag of flour?
(Round the answer to the nearest whole number.)

A baker uses $3$ cups (c) of flour to bake $2$ loaves of bread. If $1$ pound (lb) of flour is equivalent to $3 \frac{1}{3} \mathrm{c}$ , how many loaves of bread can the baker make with a $10 \mathrm{lb}$ -bag of flour? $\newline$ (Round the answer to the nearest whole number.)

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Convert between customary and metric systems

Full solution

Q. A baker uses

3

cups (c) of flour to bake

2

loaves of bread. If

1

pound (lb) of flour is equivalent to

3 \frac{1}{3} \mathrm{c}

, how many loaves of bread can the baker make with a

10 \mathrm{lb}

-bag of flour?

\newline

(Round the answer to the nearest whole number.)

Determine flour cups in $10$ lb-bag: Determine how many cups of flour are in a $10 \, \text{lb}$ -bag. $\newline$ We know that $1$ pound of flour is equivalent to $3\frac{1}{3}$ cups. Therefore, we need to multiply the number of pounds by the number of cups per pound to find the total number of cups in a $10 \, \text{lb}$ -bag. $\newline$ $10 \text{ lb} \times 3\frac{1}{3} \text{ c/lb}$ $\newline$ $10 \times \frac{10}{3}$ $\newline$ $= \frac{100}{3}$ cups
Calculate loaves with total cups: Calculate how many loaves of bread can be made with the total cups of flour. $\newline$ We know that $3$ cups of flour are needed for $2$ loaves of bread. Therefore, we need to divide the total number of cups by the number of cups needed for $2$ loaves to find the total number of loaves that can be made. $\newline$ $\frac{100}{3} \, \text{c} \div \frac{3 \, \text{c}}{2 \, \text{loaves}}$ $\newline$ $= \frac{100}{3} \times \frac{2}{3}$ $\newline$ $= \frac{200}{9}$ loaves
Round loaves to nearest whole number: Round the number of loaves to the nearest whole number. $\newline$ Since we cannot make a fraction of a loaf, we round down to the nearest whole number. $\newline$ $\frac{200}{9}$ rounds down to $22$ loaves.

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