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: One bag of peaches : $22Step-by-step 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