Question

Mr. Smith mixed 2 lb of brown rice with 3 lb of white rice. The price of brown rice is $1.95 per pound. The price of white rice is $1.75 per pound. How much money did Mr.Smith spend 1 lb of mixed rice?

Answer 1

Answer:

$1.83

Step-by-step explanation:

To calculate the cost of 1 lb of mixed rice, we need to determine the total cost of the 2 lb of brown rice and the 3 lb of white rice, and then divide it by the total weight of the mixed rice (5 lb).

Given the price of brown rice is $1.95 per pound:

$\begin{aligned}\textsf{Cost of 2 lb of brown rice}& = 2 \times \ 1.95\\& = \ 3.90\end{aligned}$

Given the price of white rice is $1.75 per pound:

$\begin{aligned}\textsf{Cost of 3 lb of white rice}&= 3 \times \ 1.75 \\&= \ 5.25\end{aligned}$

Therefore, the total cost of the 5 lb of mixed rice is:

$\begin{aligned}\textsf{Total cost of 5 lb of mixed rice}&=\textsf{Cost of 2 lb of brown rice}+\textsf{Cost of 3 lb of white rice}\\&=\ 3.90 + \ 5.25 \\&= \ 9.15\end{aligned}$

To calculate the cost of 1 lb of mixed rice, divide the total cost by the total weight:

$\begin{aligned}\textsf{Cost of 1 lb of mixed rice}&=\dfrac{\sf Total\;cost}{\sf Total\;weight}\\\\& = \dfrac{\ 9.15}{5}\\\\&=\ 1.83\end{aligned}$

Therefore, Mr. Smith spent $1.83 per 1 lb of the mixed rice.

Answer 2

Mr. Smith spent $1.83 for 1 lb of the mixed rice.

We have,

To determine the cost per pound of the mixed rice, we need to calculate the total cost of the mixed rice and divide it by the total weight.

The cost of 2 lb of brown rice is 2 lb x $1.95/lb = $3.90.

The cost of 3 lb of white rice is 3 lb x $1.75/lb = $5.25.

Therefore, the total cost of the mixed rice.

= $3.90 + $5.25

= $9.15.

Since the mixed rice weighs 2 lb + 3 lb = 5 lb, the cost per pound of the mixed rice is:

$9.15 / 5 lb = $1.83/lb.

Thus,

Mr. Smith spent $1.83 for 1 lb of the mixed rice.

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