Gail bought 5 pounds of oranges and 2 pounds of bananas for $14. Her husband later bought 3 pounds of oranges and 6 pounds of bananas for $18. What was the cost per pound of the oranges and the bananas?
Answers
The cost per pound of the oranges and the bananas is $ 2 each.
Step-by-step explanation:
Let the cost of oranges per pound be $ “x” and the cost of bananas per pound be $ “y”.
Based on the data given in the question:
Equation 1: 5x + 2y = 14
Equation 2: 3x + 6y = 18
Now, on multiplying by 3 throughout eq. (1) and by 5 throughout eq.(2) and then subtracting both eq. (i) & (ii), we get
15x + 6y = 42
15x + 30y = 90
- - -
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- 24 y = - 48
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y = $ 2 ← cost of bananas per pound
Substituting the value of y in eq. (i)
5x + 2*2 = 14
⇒ 5x = 10
⇒ x = $ 2 ← cost of oranges per pound
Thus, the cost per pound of the oranges and the bananas is $ 2 each.
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