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Mathematics 10 Online
OpenStudy (anonymous):

Brian has a job transporting soft drinks by truck. His truck is filled with cans that weigh 14 ounces each and bottles that weigh ounces each. There is a combined total of cans and bottles in his truck. Let X be the number of 14-ounce cans in his truck. Write an expression for the combined total weight (in ounces) of the cans and bottles in his truck.

jimthompson5910 (jim_thompson5910):

some symbols are missing I think

jimthompson5910 (jim_thompson5910):

it says "and bottles that weigh ounces each" but I think the number is missing

OpenStudy (anonymous):

its supposed to say 70 ounces each

OpenStudy (anonymous):

and a combined total of 860 cans and bottles

OpenStudy (anonymous):

so the question would be " Brian has a job transporting soft drinks by truck. His truck is filled with cans that weigh 14 ounces each and bottles that 70 weigh ounces each. There is a combined total of 860 cans and bottles in his truck. Let X be the number of 14-ounce cans in his truck. Write an expression for the combined total weight (in ounces) of the cans and bottles in his truck.

jimthompson5910 (jim_thompson5910):

Let X be the number of 14-ounce cans in his truck If has has x cans, then he has 14x ounces total for just the cans alone If there are 860 cans and bottles, then there must be 860-x bottles So this means that the total weight of all the bottles is 70(860-x) ounces

jimthompson5910 (jim_thompson5910):

The total weight is therefore 14x + 70(860-x) 14x + 70(860)+70(-x) 14x + 60200 - 70x -56x+60200

OpenStudy (anonymous):

so the answer is -56x+60200?

jimthompson5910 (jim_thompson5910):

yes that's the total weight in ounces of the x cans and 860-x bottles

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