SOLUTION: Two cans of cola and one can of root beer contain 149 grams of sugar. Three cans of cola and four cans of root beer contain 336 grams of sugar. How many grams of sugar are there

Question 993041: Two cans of cola and one can of root beer contain 149 grams of sugar. Three
cans of cola and four cans of root beer contain 336 grams of sugar. How many
grams of sugar are there in each?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Cola = 'x'
root beer = 'y'
2x + y = 149......(1)
3x + 4y = 336.....(2)
Multiply (1) by 4
8x + 4y = 596.....(1)
3x + 4y = 336.....(2)
Subtract (2) from (1)
5x = 260
x = 52
Substitute x = 52 in (1)
2(52) + y = 149
104 + y = 149
y = 149 - 104
y = 45
Cola has 52g of sugar in it.
Root Beer has 45g of sugar in it.
Hope this helps :-)
RELATED QUESTIONS
A cooler at a picnic contains 100 cans of soda covered by ice. There are 19 cans... (answered by ikleyn)

a cooler at a picnic contains 100 cans of soda covered by ice. There are 30 cans of cola, (answered by stanbon)

a cooler at a picnic contains 100 cans of soda covered by ice. There are 30 cans of cola, (answered by edjones)

A refrigerated case holds 24 cans of soft drinks: 6 cola, 6 root beer, 3 orange, 3... (answered by ewatrrr)

At a picnic a cooler filled with ice there are 100 cans of soda. With a mixture of sodas. (answered by edjones)

randomly selecting 3 cans of regular and diet cola, but assume that there are 9 cans of... (answered by solver91311)

if you randomly select 3 cans of regular and diet cola, but assume that there are 8 cans (answered by ewatrrr)

A cooler contains 6 cans of Coke, 5 cans of Pepsi and 4 cans of RC Cola. Three cans are... (answered by robertb)

good morning. my brain is going blank on my problems, can you help me on this one... (answered by stanbon)