SOLUTION: Kathy and Juanita had a light afternoon snack. Kathy enjoyed 3 chips and 2 pretzels, for a total of 77 calories. Juanita enjoyed 2 chips and 15 pretzels, for a total of 195 calorie

Question 327807: Kathy and Juanita had a light afternoon snack. Kathy enjoyed 3 chips and 2 pretzels, for a total of 77 calories. Juanita enjoyed 2 chips and 15 pretzels, for a total of 195 calories. How many calories are each pretzel?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Kathy and Juanita had a light afternoon snack.
Kathy enjoyed 3 chips and 2 pretzels, for a total of 77 calories.
Juanita enjoyed 2 chips and 15 pretzels, for a total of 195 calories.
How many calories are each pretzel?
:
let c = no. of calories in a chip
let p = no. of calories in a pretzel
:
Write an equation for each girl
:
3c + 2p = 77
2c + 15p = 195
:
Multiply the 1st equation by 7.5, subtract the 2nd equation
22.5c + 15p = 577.5
2c + 15p = 195
------------------subtraction eliminate p, find c
20.5c = 382.5
c =
c = 18.7 calories
:
Find p
3(18.7) + 2p = 77
56 + 2p = 77
2p = 77-56
2p = 21
p =
p = 10.5 calories
:
:
Check solution in 2nd original equation, 2c + 15p = 195:
2(18.7) + 15(10.5) =
37.4 + 157.5 = 194.9 ~ 195
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