What is the cost of a candy bar?

Question

2 candy bars and 10 drinks sell for $14.00

18 candy bars and 20 drinks sell for $38.50

Answer 1

Let x be the cost of one candy bar

Let y be the cost of one drink

Setting up system of linear equations from the given:

2x+10y=14.00

18x+20y=38.50

Solving the system of equations by elimination:

(-2) 2x+10y=14.00 (-2)

-4x-20y=-28

18x+20y=38.50

14x=10.50

x=10.50/14

x=0.75

Cost of one candy bar = $0.75

Answer 2

one candy bar costs 75 cents,

b=.75

2b+10d=14

divide by 2

b+5d =7

18b+20d=38.50

divide by 2

9b+10d= 19.25

2b +10d = 14

subtract last 2 equations to eliminate one variable

7b = 5.25

b = $.75 for a candy bar= 75 cents

5d =7-b= 7-.75=6.25

d = 6.25/5 = $1.25 for a drink

check the answers, b=.75, d=1.25

9(.75)+10(1.25) = 6.75+12.50 = $19.25 for 9 bars and 10 drinks

=$38.50 for 18 bars and 20 drinks

2(.75)+10(1.25) = 1.5 +12.50 = $14 for 2 bars and 10 drinks