Kaitlyn bought two pieces of gum and 3 candy bars for $3.25. Riley bought 4 pieces of gum and 1 candy bar for $2.75 at the same store. How much would Tamera pay if she bought 1 piece of gum and 1 candy bar at the same store?

A. $0.25
B. $0.50
C. $0.75
D. $1.25

1 Answer
St.Roller
May 4, 2018

D. $1.25

Explanation:

Let x be the amount of 1 piece of gum and y be amount of 1 candy bar.

#:.# As per the question we have two equations :
#-># 2x + 3y = 3.25 and 4x + y = 2.75
#:.# Solving these equations we are gonna get :
4x + y = 2.75
4x + 6y = 6.50 ... [Multiplying the second eq. by 2]
#:.# Subtracting both the equations we get :
-5y = -3.75
5y = 3.75
y = #3.75/5#
#:.# y = 0.75$
Now substituting the value of y in the first eq. we get :
#-># 4x + y = 2.75
#:.# 4x + 0.75 =2.75
#:.# 4x = 2.75 - 0.75
#:.# 4x = 2.00
#:.# x = #2/4# = 0.50$
So now as asked x + y
= 0.50$ + 0.75$
= (0.50 + 0.75) $
= 1.25$
Thus Option D. 1.25$ is correct.

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