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Yes, see solution.
One way to know if two ratios or rates are equivalent is by looking at their unit rates. We can check if the relationship between the two quantities is the same when we compare them as rates in their simplest form.
Let's see if the given rates are equivalent!
c|c
288miles/12gallons & 240miles/10gallons
We need to simplify the above expressions to find out if their rates are the same. Let's start by simplifying the first rate. To make the math a little bit simpler, we will only look at the numbers.
Let's now simplify the second rate.
Finally, we can compare the simplified rates. 24/1 = 24/1 Since the given rates have the same unit rate, they are equivalent.