Rachel has a job transporting soft drinks by truck. Her truck is filled with cans that weigh
14
ounces each and bottles that weigh
70
ounces each. There is a combined total of
810
cans and bottles in her truck.
Let
x
be the number of
14
-ounce cans in her truck. Write an expression for the combined total weight (in ounces) of the cans and bottles in her truck.

Question

Rachel has a job transporting soft drinks by truck. Her truck is filled with cans that weigh 
14
ounces each and bottles that weigh 
70
 ounces each. There is a combined total of 
810
 cans and bottles in her truck.
Let 
x
 be the number of 
14
-ounce cans in her truck. Write an expression for the combined total weight (in ounces) of the cans and bottles in her truck.

anonymous · Answer

We know that bottles weigh 70 ounces, and that cans weigh 14 ounces. So let's define a few variables.
Let x be the number of cans, y be the number of bottles, and z be the combined weight.
We know what z is, it's 810 ounces.
We also know that the total weight of the cans is 14 ounces times the number of cans, and the same think for bottles, but with 70 ounces. Therefore
810 = 14*x + 70*y