Question
Jacob is making spaghetti for the Anderson family reunion. He will use 14 boxes of spaghetti, with a total weight of 168 ounces.
What is the rate of boxes of spaghetti to number of ounces?
There are 14
What is the rate of boxes of spaghetti to number of ounces?
There are 14
Answers
GPT-4o mini
To find the rate of boxes of spaghetti to the number of ounces, you can set up the following ratio:
\[
\frac{\text{Number of boxes}}{\text{Weight in ounces}} = \frac{14 \text{ boxes}}{168 \text{ ounces}}
\]
To simplify this ratio, divide both the numerator and the denominator by the greatest common divisor (GCD) of 14 and 168.
The GCD of 14 and 168 is 14.
Now, divide both parts by 14:
\[
\frac{14 \div 14}{168 \div 14} = \frac{1}{12}
\]
Therefore, the rate of boxes of spaghetti to the number of ounces is:
\[
1 \text{ box} : 12 \text{ ounces}
\]
This means that for every 1 box of spaghetti, there are 12 ounces.
\[
\frac{\text{Number of boxes}}{\text{Weight in ounces}} = \frac{14 \text{ boxes}}{168 \text{ ounces}}
\]
To simplify this ratio, divide both the numerator and the denominator by the greatest common divisor (GCD) of 14 and 168.
The GCD of 14 and 168 is 14.
Now, divide both parts by 14:
\[
\frac{14 \div 14}{168 \div 14} = \frac{1}{12}
\]
Therefore, the rate of boxes of spaghetti to the number of ounces is:
\[
1 \text{ box} : 12 \text{ ounces}
\]
This means that for every 1 box of spaghetti, there are 12 ounces.
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