Question
Bryce bought a bag of cashews. He served 2/8 pound of cashews at a party. This amount represents 2/3 of the entire bag. The equation 2/3n =7/8 can be used to find the number of pounds n in a full bag. How many pounds of cashews were in the bag that Bryce bought.
Answers
GPT-4o mini
To find the number of pounds \( n \) in a full bag of cashews using the equation:
\[
\frac{2}{3}n = \frac{7}{8}
\]
we can solve for \( n \) by isolating it on one side.
First, we can multiply both sides of the equation by \( \frac{3}{2} \) to get \( n \) by itself:
\[
n = \frac{7}{8} \cdot \frac{3}{2}
\]
Now, multiply the fractions:
\[
n = \frac{7 \cdot 3}{8 \cdot 2} = \frac{21}{16}
\]
To simplify, \( \frac{21}{16} \) can also be expressed as a mixed number:
\[
n = 1 \frac{5}{16} \text{ pounds}
\]
Thus, the number of pounds of cashews in the bag that Bryce bought is:
\[
\frac{21}{16} \text{ pounds or } 1.3125 \text{ pounds}
\]
\[
\frac{2}{3}n = \frac{7}{8}
\]
we can solve for \( n \) by isolating it on one side.
First, we can multiply both sides of the equation by \( \frac{3}{2} \) to get \( n \) by itself:
\[
n = \frac{7}{8} \cdot \frac{3}{2}
\]
Now, multiply the fractions:
\[
n = \frac{7 \cdot 3}{8 \cdot 2} = \frac{21}{16}
\]
To simplify, \( \frac{21}{16} \) can also be expressed as a mixed number:
\[
n = 1 \frac{5}{16} \text{ pounds}
\]
Thus, the number of pounds of cashews in the bag that Bryce bought is:
\[
\frac{21}{16} \text{ pounds or } 1.3125 \text{ pounds}
\]