# Video: Writing and Solving Proportional Equations Involving Percentages

If 60% of a number is 48, what is 80% of the same number?

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### Video Transcript

If 60 percent of a number is 48, what is 80 percent of the same number?

We are told in the question that 60 percent is equal to 48. We need to work out what 80 percent is. As 60 percent is equal to 48, we can calculate 20 percent by dividing 48 by three, as 60 divided by three is equal to 20. 48 divided by three is equal to 16. Therefore, 20 percent of the number is equal to 16. We now know that 60 percent of the number is equal to 48. 20 percent of the number is equal to 16. 60 plus 20 is equal to 80.

Therefore, to work out 80 percent, we need to add 48 and 16. As 48 plus 16 is equal to 64, we can say that 80 percent of the same number is equal to 64. We could use these values to work out the actual number. 20 percent plus 80 percent is equal to 100 percent. Therefore, the number is 16 plus 64. This is equal to 80. 60 percent of 80 is equal to 48. And 80 percent of 80 is equal to 64.