题目
Anna buys apples and bananas. She spends the same amount on both, but she buys one more pound of apples than bananas. The price of bananas is \$1 more per pound than the price of apples. If she purchased 4 pounds of apples, what is the price per pound of bananas?
解析
- 设\(A\)为苹果的单价(每磅)
- 设\(B\)为香蕉的单价(每磅)
- 购买的苹果重量为\(4\)磅
- 购买的香蕉重量为\(3\)磅(因为安娜买的苹果比香蕉多1磅)
题目说明安娜在两种水果上花费的总金额相等,因此可列出等式:
苹果总价 = 香蕉总价
A×4=B×3
同时已知香蕉的单价比苹果贵1美元每磅:
B=A+1
将第二个方程\(B = A + 1\)代入第一个方程:
A×4=(A+1)×3
求解\(A\):
4A=3A+3
4A-3A=3
A=3
因此,苹果的单价为3美元每磅。
使用方程\(B = A + 1\)计算香蕉的单价:
B = 3 + 1
B = 4
香蕉的单价为4美元每磅。
正确答案为D. 。