Question

What is the rate and unit rate of $\$7.96$ for 5 pounds?

Answer 1

Hint: To find the unit rate of $\$7.96$ for 5 pounds we have to make one of the dollars or pounds to 1. So, for that we are going to take the fractional form of $\$$(dollars) and pounds. We are going to write $\$7.96$ and 5 pounds in the ratio form in such a way so that $\$7.96$ is written in the numerator and 5 pounds in the denominator. And it will look as follows: $\dfrac{\$7.96}{5pounds}$. Now, we will make either numerator or denominator as 1 and then will write the rate.

Complete step by step solution:
We have to find the rate of $\$7.96$ for 5 pounds so to find this rate we are going to take the ratio of $\$7.96$ and 5 pounds by writing $\$7.96$ in the numerator and 5 pounds in the denominator. This ratio will look in the following way:
$\dfrac{\$7.96}{5 pounds}$
Now, we are making the numerator as $\$1$ by dividing numerator and denominator by 7.96 and we get,
$\dfrac{\dfrac{\$7.96}{7.96}}{\dfrac{5 pounds}{7.96}}$
In the numerator we get $\$1$ and in the denominator we get 0.628 pounds and the above fraction will look as follows:
$\dfrac{\$1}{0.628pound}$
From the above fraction, we can say that 1 dollar is approximately equal to 0.628 pound.
Now, we are going to make pound as 1 in the above ratio $\dfrac{\$7.96}{5pounds}$ and this we are going to do by dividing the numerator and the denominator by 5 and we get,
\[\dfrac{\dfrac{\$7.96}{5}}{\dfrac{5pounds}{5}}\]
In the above fraction, the numerator will become $\$1.592$ and denominator becomes 1 pound and then above fraction will reduce to:
$\dfrac{\$1.592}{1pound}$
The above fraction is telling that 1 pound is exactly equal to $\$1.592$.

Hence, we have found the two rates. In one of the two rates, 1 dollar is approximately equal to 0.628 pound and in the other, 1 pound is exactly equal to 1.592 dollars.

Note:
In the above problem, you might get caught up in the calculation mistake when we are dividing 5 by 7.96 and when we are dividing 7.96 by 5 so make sure you will be careful while doing the calculation part. The way in which we have found the rate of dollars for pounds, we can find other currencies too like the rate of rupees for dollars. The method for finding the rate would be the same.