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Yani0118
08.12.2019 •
Mathematics
Two glasses of milk and 3 snack bars have a total of 68 carbs, and 4 glasses of milk and 2 snack bars have a total of 80 carbs. determine how many carbs are in one glass of milk and in one snack bar.
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Ответ:
Amount of carbs in one glass of milk is 13 and amount of carbs in one snack bar is 14
Solution:Let "m" be the amount of carbs in one glass of milk
Let "s" be the amount of carbs in one snack bar
Given that two glasses of milk and 3 snack bars have a total of 68 carbs
carbs in one glass of milk x two glasses of milk + carbs in one snack bar x 3 snack bars = 68 carbs
2m + 3s = 68 eqn 1
Similarly,
Also given that 4 glasses of milk and 2 snack bars have a total of 80 carbs
4m + 2s = 80 eqn 2
Let us solve these two equations and find values of "m" and "s"
Multiply eqn 1 by 2
4m + 6s = 136 --- eqn 3
Subtract eqn 2 from eqn 3
4m + 6s = 136
4m + 2s = 80
(-)
4s = 56
s = 14
Substitute s = 14 in eqn 1
2m + 3s = 68
2m + 3(14) = 68
2m = 26
m = 13
Thus the amount of carbs in one glass of milk is 13 and amount of carbs in one snack bar is 14
Ответ:
-2-1=-3
-4-(-5)=1