2. 外语
  3. At a fruit stand, apples can be purchased for $0.15 each and pears for $0.20 each. At these rates, a bag of apples and pears was

At a fruit stand, apples can be purchased for $0.15 each and pears for $0.20 each. At these rates, a bag of apples and pears was

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问题 At a fruit stand, apples can be purchased for $0.15 each and pears for $0.20 each. At these rates, a bag of apples and pears was purchased for $3.80. If the bag contained 21 pieces of fruit, how many of the pieces were pears?
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答案13
解析 If a represents the number of apples purchased and p represents the number of pears purchased, the information can be translated into the following system of equations.
0.15a+ 0.20p = 3.80(total cost)
a+p = 21(total number of fruit)
From the second equation, a = 21-p. Substituting 21-p into the first equation for a gives
0.15(21-p)+ 0.20p = 3.80
(0.15)(21)- 0.15p + 0.20p = 3.80
3.15-0.15p + 0.20p = 3.80
0.05p = 0.65
p=13
Thus, of the 21 pieces of fruit, 13 were pears.
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