WEBVTT
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A farmer takes stock of the vegetables in his field.
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He has 160 potatoes, 80 cabbages, and 35 turnips.
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Altogether, the farmer harvests 80 percent of the total number of vegetables.
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He harvests 60 percent of the cabbages and 28 turnips.
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What percentage of the potatoes did the farmer harvest?
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Let’s start with what we know.
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The total number of vegetables equals the 160 potatoes plus 80 cabbages plus 35 turnips.
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The farmer has 275 total vegetables.
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He harvests 80 percent of the total number of vegetables.
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That would be 80 percent of 275.
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As a fraction, we can write 80 percent as 80 over 100, which is being multiplied by 275.
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You can also write 80 percent as a decimal, 0.80.
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Either way, you’ll need to multiply that value by 275, which gives us 220.
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There were 220 vegetables harvested.
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We know that 60 percent of the cabbages were harvested, that is, 60 over 100, times 80 because we started with 80 cabbages.
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We can rewrite that fraction to be 0.60 and then multiply that by 80, which gives us 48.
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48 cabbages were harvested.
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We also know that 28 turnips were harvested.
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So we take our 220 vegetables that were harvested and we subtract the 48 cabbages that were harvested and we subtract the 28 turnips that were harvested.
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220 minus 48 minus 28 equals 144.
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This 144 represents the number of potatoes that were harvested.
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We have to be careful here because our question is not asking how many potatoes were harvested, but what percentage of potatoes did the farmer harvest.
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To find that percentage, we take our 144 harvested potatoes and write it as a fraction over 160 total potatoes.
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144 divided by 160 equals 0.90, which again is still not our percentage.
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To calculate the percent from this decimal, we multiply by 100.
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0.90 times 100 equals 90 percent.
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The farmer harvested 90 percent of his potato crop.