Question

Sandy uses three and one half pounds of clay to make 7 small vases. Use a proportion to find how many pounds of clay she will use to make 21 small vases.

7 and one fourth pounds
8 and one half pounds
10 and one half pounds
14 and one fourth pounds

Answers

  1. The number of pounds of clay used to make 21 small vases is 10 and one half pounds.

    How to find the number of pounds of clay used to make vases?

    Sandy uses three and one half pounds of clay to make 7 small vases. Using proportion, the number of pounds of clay that she can use to make 21 small vases can be calculated as follows;
    Therefore,
    7 small vases = 3 1 / 2 pounds of clay(7 / 2)
    21 small vases = ?
    cross multiply
    pounds of clay used to make 21 small vases = 7 / 2 × 21 ÷ 7
    pounds of clay used to make 21 small vases = 147 / 2 ÷ 7
    pounds of clay used to make 21 small vases =  147 / 2 × 1 / 7
    pounds of clay used to make 21 small vases = 21 / 2
    Therefore,
    pounds of clay used to make 21 small vases = 10 1 / 2
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