Edwards Wilson
01/16/2024 · Junior High School
Type as a rate in simplest form. \( \$ 21 \) for 12 magazines \( \$ \square \) \( \square \) magazines
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Tutor-Verified Answer
Step-by-step Solution
To express the cost of magazines as a rate in simplest form, we start with the given information:
You have \( \$21 \) for 12 magazines.
To find the cost per magazine, we divide the total cost by the number of magazines:
\[
\text{Cost per magazine} = \frac{21}{12}
\]
Next, we simplify this fraction. Both 21 and 12 can be divided by 3:
\[
\frac{21 \div 3}{12 \div 3} = \frac{7}{4}
\]
Thus, the cost per magazine is \( \frac{7}{4} \) dollars, which can also be expressed as \( \$1.75 \) per magazine.
Now, if we want to express this as a rate in the form of \( \$ \square \) for \( \square \) magazines, we can say:
- For 1 magazine, the cost is \( \$1.75 \).
- For 4 magazines, the cost is \( \$7 \) (since \( 4 \times 1.75 = 7 \)).
- For 12 magazines, the cost is \( \$21 \) (which we already have).
So, the rate in simplest form is:
\[
\frac{7}{4} \text{ dollars per magazine}
\]
In the format you provided:
\[
\$ 21 \text{ for } 12 \text{ magazines}
\]
\[
\$ 1.75 \text{ for } 1 \text{ magazine}
\]
Or simply:
\[
\frac{7}{4} \text{ dollars per magazine}
\]
Quick Answer
The rate in simplest form is \( \$1.75 \) for 1 magazine.
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