Answered

Yvonne used 5 tablespoons of butter for a recipe. For a second recipe, she used [tex][tex]$10 \%$[/tex][/tex] less butter than she did for the first recipe. The total amount of butter, in tablespoons, she used for both recipes can be found using the expression below.
[tex]\[ 5 + 5 - 5(10\%) \][/tex]

Which other expression can be used to find the amount of butter, in tablespoons, she used for both recipes?

A. [tex]\[ 10 - 5\% \][/tex]
B. [tex]\[ 10 - 50\% \][/tex]
C. [tex]\[ 5 + 5(0.9) \][/tex]
D. [tex]\[ 5 + 5(1 - 10) \][/tex]



Answer :

GinnyAnswer
Let's break down the problem step by step:

1. Yvonne used 5 tablespoons of butter for the first recipe.

2. For the second recipe, she used [tex]\( 10\% \)[/tex] less butter than the first recipe.
[tex]\[ \text{Amount of butter for the second recipe} = 5 - 5 \times 0.10 \][/tex]

3. Calculating the amount of butter for the second recipe:
[tex]\[ 5 - 5 \times 0.10 = 5 - 0.5 = 4.5 \text{ tablespoons} \][/tex]

4. The total amount of butter used in both recipes is:
[tex]\[ 5 + 4.5 = 9.5 \text{ tablespoons} \][/tex]

The given expression for the total amount of butter is [tex]\( 5 + 5 - 5(10\%) \)[/tex]. Simplifying it step by step:
[tex]\[ 5 + 5 - 5 \times 0.10 \implies 5 + 5 - 0.5 \implies 10 - 0.5 = 9.5 \][/tex]

We can also rewrite the amount of butter for the second recipe as [tex]\( 5 \times (1 - 0.10) \)[/tex]:
[tex]\[ 5 \times 0.90 = 4.5 \text{ tablespoons} \][/tex]

Thus, another way of writing the total amount of butter used in both recipes is:
[tex]\[ 5 + 4.5 \][/tex]

Since [tex]\( 4.5 = 5 \times 0.90 \)[/tex], another expression to represent the total amount of butter is:
[tex]\[ 5 + 5(0.9) \][/tex]

Now let's evaluate the given choices to see which one matches:

A. [tex]\( 10 - 5\% \)[/tex]

B. [tex]\( 10 - 50\% \)[/tex]

C. [tex]\( 5 + 5(0.9) \)[/tex]

D. [tex]\( 5 + 5(1 - 10) \)[/tex]

We see that the correct expression is:
[tex]\[ C. \quad 5 + 5(0.9) \][/tex]