volume_mute
Cement Mixers
publish date: 2024/05/29 21:10:14.398210 UTC
A cement mixer can carry \(9\frac12\) cubic yards of concrete. If it makes 8 trips to a job site, how much concrete will be delivered to the site?
Correct Answer
$76$
Explanation
First, let's convert the mixed number \(9\frac12\) to an improper fraction:
$9\frac12 = \frac{19}{2}$
Now, we need to find the total amount of concrete delivered by multiplying \(\frac{19}{2}\) by 8:
$= \frac{19}{2} \cdot 8$
To perform this multiplication, we multiply the numerator of the fraction by the whole number:
$= \frac{19 \cdot 8}{2} = \frac{19 \cdot 2 \cdot 4}{2}$
Next, we simplify the fraction by dividing the numerator by the denominator:
$\require{cancel} = \frac{19 \cdot \cancel{2}^1 \cdot 4}{\cancel{2}_1} = 76$
Thus, the total amount of concrete delivered to the site is:
76 cubic yards
Reference
Mathematics for college students, go-math-science.com