Question
Find the number that makes the ratio equivalent to 88:33.
Ask by Davey Bryant. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number is 11.
Solution
We start with the ratio 88:33. Notice that both 88 and 33 have a common factor. In fact, both numbers can be divided evenly by 11:
88 ÷ 11 = 8
33 ÷ 11 = 3
So, 88:33 simplifies to 8:3. This tells us that 88 is 8 times 11 and 33 is 3 times 11.
Thus, the number 11 is the factor that relates 88 and 33 (i.e. 88 is 8×11 and 33 is 3×11), which means multiplying the ratio 8:3 by 11 gives us the original ratio 88:33.
Therefore, the number is 11.
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Simplify this solution Bonus Knowledge
To find a number that makes a ratio equivalent to 88:33, you can simplify the original ratio first. Both 88 and 33 can be divided by their greatest common divisor, which is 11. So, 88 ÷ 11 = 8 and 33 ÷ 11 = 3. This simplifies the ratio to 8:3. If you're looking for a number, any number that you can multiply both parts of the ratio by will maintain the equivalency, for example, multiplying by 2 gives you 16:6, multiplying by 5 gives you 40:15, and so on!
