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Pericles uses 4 gallons of paint to cover 600 square feet. At this rate, how many gallons of paint will he need to cover 700 square feet? Express as a fraction in lowest terms. |
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Hint1 guides us by suggesting that we use a proportion to solve the problem. A proportion expresses the equality of two ratios. Use gallons to square feet. |
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Hint 2 gives us more information and shows us that 4 gallons is to 600 square feet –here, as an unknown number of gallons is to 700 square feet down here. 4 over 600 = Y over 700. This is saying that cross products are equal in proportions. |
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Hint 3 says set cross products equal because these are proportions and these are automatically equal. 600 times Y = 4 times 700. So what we find is if we multiply 4 times 700, we get 2,800 over here which gives us 4 times Y equals 2,800. |
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Hint 4 tells us we have to divide for the last part. We divide both sides by 600 in the equation, and we see that our answer is 4 2/3. |
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We can then look at the summary and see each of the solution steps in one place. |
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If we choose to repeat the problem, we see the same word problem with different numbers to focus on learning the concept rather than memorizing the answer. |
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Hint 1 is almost the same. |
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But hint two uses different numbers with a different number of pictures. |
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Hint 3 has different pictures to match the numbers. |
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Hint 4 also has different pictures with the answer. |
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At the end we can see all the solution steps together. |