Question

William buys two bags of peaches and three bags of apricots for $17. Sylvla 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

4

Explanation:

elimination method

• 2p+3a=17

• 4p+2a=22

multiply equation [1] by 4 and equation [2] by 2

• 8p+12a=68
• 8p+4a=44

• 0+8a=24

divide both sides by 8

a=3

substitute 3 for a in equation 2 above

• 4p+[2*3]=22
• 4p+6=22

take 6 to the other side of the equation

NB

the symbol changes

• 4p=22-6
• 4p=18

divide both sides by 4

p=4