Mathematics: Choose the appropriate algebraic expression from the following verbal phrase: the quotient of y and the sum of x and 5.

Choose the appropriate algebraic expression from

Ответ:

casandraserrat375

05.02.2020

Question:

Vincent bought a 25-pound bag of rice. He cooked 6.25 pounds of the rice. He stored the rest of the rice in $3\frac{3}{4}$ - pound portions. What is the maximum number of $3\frac{3}{4}$ - pound portions he stored?

The maximum number of portion he stored is 5 portion

Step-by-step explanation:

Given

Size of Rice = 25 lb

Size of Cooked Rice = 6.25 lb

Portions saved = $3\frac{3}{4}$ lb

Required

Number of portion saved;

First, the size of rice after cooking needs to be calculated;

If 6.25lb of rice was cooked from a total of 25lb;

Then, the size of rice left is

Size = 25lb - 6.25lb

Size = 18.75lb

Now that we have the amount left after cooking; we can simply calculate the maximum number of portions;

This is calculated by dividing size of rice left by portions of saved rice;

i.e.

Maximum number of portion = Size of rice left / Portions of saved rice

Maximum number of portion = $\frac{18.75lb}{3\frac{3}{4}lb}$

Convert $3\frac{3}{4}$ to mixed fraction

Maximum number of portion = $\frac{18.75lb}{\frac{15}{4}lb}$

Maximum number of portion = $\frac{18.75}{\frac{15}{4}}$

Rewrite expression

Maximum number of portion = $18.75 / \frac{15}{4}$

Change divide (/) sign to multiplication (*)

Maximum number of portion = $18.75 * \frac{4}{15}$

Maximum number of portion = $\frac{75}{15}$

Maximum number of portion = 5

Hence, the maximum number of portion he stored is 5 portions

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Choose the appropriate algebraic expression from the following verbal phrase: the quotient of y and the sum of x and 5.

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