Question
An ice cream shop uses a mix of blueberries and cherries on its ice cream sundaes. The shop has
pounds of blueberries and
of cherries. The shop mixes the blueberries and cherries and uses
pound of the mix on each sundae. Which expression represents the total number of sundaes that the shop can make using all of the blueberries and cherries?
A
(534÷116)+412\left(5\frac{3}{4}\div \frac{1}{16}\right)+4\frac{1}{2}(5
4
3
÷
16
1
)+4
2
1
B
534+(412÷116)5\frac{3}{4}+\left(4\frac{1}{2}\div \frac{1}{16}\right)5
4
3
+(4
2
1
÷
16
1
)
C
116÷(534+412)\frac{1}{16}\div \left(5\frac{3}{4}+4\frac{1}{2}\right)
16
1
÷(5
4
3
+4
2
1
)
D
(534+412)÷116\left(5\frac{3}{4}+4\frac{1}{2}\right)\div \frac{1}{16}(5
4
3
+4
2
1
)÷
16
1
Answers
GPT-4o mini
To find the total number of sundaes that the shop can make using all of the blueberries and cherries, we need to start by noting that:
1. The shop has a certain amount of blueberries (let's call it \( B \) pounds) and cherries (let's call it \( C \) pounds). In your question, these amounts were represented symbolically as \( 534 \) pounds of blueberries and \( 412 \) pounds of cherries.
2. The total amount of the mix (blueberries + cherries) is given by \( B + C \).
3. Each sundae requires a specific amount of this mix, represented by \( 16 \) pounds.
To compute the total number of sundaes, we can use the formula:
\[
\text{Total sundaes} = \frac{B + C}{\text{pounds per sundae}}
\]
In this case:
\[
\text{Total sundaes} = \frac{534 + 412}{16}
\]
Now, let's analyze the options:
- **Option A:** This expression does not represent the problem correctly.
- **Option B:** This expression does not achieve the necessary calculation of summing and then dividing correctly.
- **Option C:** This option does not reflect the needed operation of summing and dividing.
- **Option D:** This expression correctly resembles the necessary operations of summing the blueberries and cherries first, before dividing by the amount of mix per sundae—but the formatting may be incorrect or too complicated.
The best simplistic expression should ideally be
\[
\frac{534 + 412}{16}
\]
None of the options presented encapsulate this necessary calculation in a straightforward manner. If an error is noted in these options or a simplified expression was required, the final answer should focus on representing and calculating the sum divided by the amount per sundae.
Upon evaluating each option, none represents the total number of sundaes correctly as \( \frac{534 + 412}{16} \).
Ultimately, if you're looking to determine the straightforward solution, you'd compute directly \( \frac{534 + 412}{16} \) rather than relying on the provided options.
1. The shop has a certain amount of blueberries (let's call it \( B \) pounds) and cherries (let's call it \( C \) pounds). In your question, these amounts were represented symbolically as \( 534 \) pounds of blueberries and \( 412 \) pounds of cherries.
2. The total amount of the mix (blueberries + cherries) is given by \( B + C \).
3. Each sundae requires a specific amount of this mix, represented by \( 16 \) pounds.
To compute the total number of sundaes, we can use the formula:
\[
\text{Total sundaes} = \frac{B + C}{\text{pounds per sundae}}
\]
In this case:
\[
\text{Total sundaes} = \frac{534 + 412}{16}
\]
Now, let's analyze the options:
- **Option A:** This expression does not represent the problem correctly.
- **Option B:** This expression does not achieve the necessary calculation of summing and then dividing correctly.
- **Option C:** This option does not reflect the needed operation of summing and dividing.
- **Option D:** This expression correctly resembles the necessary operations of summing the blueberries and cherries first, before dividing by the amount of mix per sundae—but the formatting may be incorrect or too complicated.
The best simplistic expression should ideally be
\[
\frac{534 + 412}{16}
\]
None of the options presented encapsulate this necessary calculation in a straightforward manner. If an error is noted in these options or a simplified expression was required, the final answer should focus on representing and calculating the sum divided by the amount per sundae.
Upon evaluating each option, none represents the total number of sundaes correctly as \( \frac{534 + 412}{16} \).
Ultimately, if you're looking to determine the straightforward solution, you'd compute directly \( \frac{534 + 412}{16} \) rather than relying on the provided options.