Video: Solving Word Problems Involving Percentage

The table shows the results of a survey about the favourite fruits of 600 people. Of those surveyed, how many do not prefer watermelon?

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Video Transcript

The table shows the results of a survey about the favourite fruits of 600 people. Of those surveyed, how many do not prefer watermelon?

From the table, we can see that 30 percent of the people do prefer watermelon. One way to work out the percentage who do not prefer watermelon is to subtract 30 percent from 100 percent, as percentages are out of 100. 100 minus 30 is equal to 70. Therefore, 70 percent of the people do not prefer watermelon.

An alternative way of working out the percentage that do not prefer watermelon is to add 41 percent and 29 percent, the percentages that prefer grapes and mango. 41 plus 29 is also equal to 70. We, therefore, need to work out 70 percent of 600. As there were 600 people surveyed, we can say that 100 percent equals 600. Dividing both sides of this equation by 10 shows us that 10 percent is equal to 60, as 100 divided by 10 is equal to 10. And 600 divided by 10 is equal to 60.

As we want to calculate 70 percent, we need to multiply both sides of this equation by seven. 60 multiplied by seven is equal to 420 as six multiplied by seven equals 42. We can therefore say that, of the 600 people surveyed, 420 do not prefer watermelon.

An alternative method of calculating this answer would be to initially work out the number of people that do prefer watermelon, in this case 30 percent of 600. This is equal to 180 people. We know that 10 percent is 60. So 30 percent would be 60 times three, which is 180. We could then subtract the people who do prefer watermelon from the total. Subtract 180 from 600. This is equal to 420, the same answer as we got with our first method.

We can, therefore, state that there were 420 people who did not prefer watermelon.

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