Question

Rita's cheese recipe requires salt. She needs 1/5 bags of salt for each kilogram of cheese. She has 9/10 bags of salt. Complete the following to help Rita find how many kilograms of cheese she has the salt to make.

(a)Fill in the blanks to write an expression that gives the number of kilograms of cheese Rita has the salt to make. Choose only from

Answer 1

To determine how many kilograms of cheese Rita has the salt to make, we can set up the expression based on the information provided.

Rita needs \( \frac{1}{5} \) bags of salt for each kilogram of cheese and has \( \frac{9}{10} \) bags of salt.

1. Let \( x \) be the number of kilograms of cheese Rita can make.
2. The amount of salt required for \( x \) kilograms of cheese is \( \frac{1}{5}x \) bags of salt.
3. We set the equation:
\[
\frac{1}{5}x = \frac{9}{10}
\]

To find \( x \), we'll solve for it:

4. Multiply both sides of the equation by 5 to eliminate the fraction:
\[
x = 5 \cdot \frac{9}{10}
\]

5. Simplifying, we find:
\[
x = \frac{45}{10} = 4.5
\]

Therefore, the expression that gives the number of kilograms of cheese Rita has the salt to make is:

\[
\frac{9}{10} \div \frac{1}{5}
\]

This can also be represented as:

\[
\frac{9}{10} \times 5
\]

So the completed expression for the number of kilograms of cheese is \( \frac{9}{10} \div \frac{1}{5} \) or \( \frac{9}{10} \times 5 \).

Thus, Rita has the salt to make 4.5 kilograms of cheese.