Kaitlyn bought 2 pieces of gum and 3 candy bars for $3.25. Jordan bought 4 pieces of gum and 1 candy bar for $2.75 at the same store. What is the cost of 1 piece of gum and 1 candy bar?
Answers
Given : Kaitlyn bought 2 pieces of gum and 3 candy bars for $3.25.
Jordan bought 4 pieces of gum and 1 candy bar for $2.75 at the same store.
To Find : What is the cost of 1 piece of gum and 1 candy bar?
Solution:
cost of 1 piece of gum = G $
cost of 1 piece of candy bar = B $
Kaitlyn bought 2 pieces of gum and 3 candy bars for $3.25.
=> 2G + 3B = 3.25 Eq1
Jordan bought 4 pieces of gum and 1 candy bar for $2.75
=> 4G + B = 2.75 Eq2
2 * Eq1 - Eq2
=> 6B - B = 6.5 - 2.75
=> 5B = 3,75
=> B = 0.75
4G + B = 2.75
=> 4G + 0.75 = 2.75
=> 4G = 2
=> G = 0.5
cost of 1 piece of gum = 0.5 $
cost of 1 piece of candy bar = 0.75 $
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