Question

William buys two bags of peaches and three bags of apricots for $17. Sylvia buys four bags of peaches and two bags of apricots for $22 from the same store. What is the cost of one bag of peaches?

Answer 1

The answer is $4.

Answer 2

Answer: One bag of peaches : $22

Explanation:

Hi, to answer this question we have to write an equation for William and Sylvia.

• William: 2 p + 3 a = 17
• Silvia: 4p + 2 a =22

Where:

p = price of one bag of peaches

a= price of one bag of apricots

Solving for "a" in William's equation:

2p +3a =17

3a = 17-2p

a = (17-2p)/3

a= 17/3 -2/3 p

Replacing "a" in Silvia's equation

4p + 2 a =22

4p + 2 (17/3 -2/3p) =22

4p +34/3-4/3p =22

4p-4/3p =22-34/3

8/3 p =32/3

p =32/3 ÷8/3

p=4