Question

Amanda 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
860
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.

Answer 1

Hmm,what do u think? @FLVSKidd

Answer 2

\[Let~x~be~the~number~of~14~ounce~cans~in~her~truck\]\[Let~y~be~the~number~of~70~ounce~bottles~in~her~truck\]\[Combined~total~of~860~cans~and~bottles~in~her~truck.\]
Using the given information..u can start to form an expression

Answer 3

\[14x+70y=860\]

Answer 4

@MARC_D wrote:

"Using the given information..u can start to form an expression

14x+70y=860"

The above expression is incorrect.

Answer 5

There is a combined total of 860 cans and bottles.

number of cans + number of bottles = 860

The problem instructs us to use x to represent the number of cans, so we can write

x + number of bottles = 860

Can you solve the above equation for the number of bottles?

Answer 6

Subtract x from both sides to get

number of bottles = 860 - x

Now we know this:

number of cans = x
number of bottles = 860 - x

Answer 7

Each can weights 14 oz, and each bottle weighs 70 oz.
The number of cans times 14 oz is the total weight of the cans.
The number of bottles times 70 oz is the total weight of the bottles.
The sum of the two amounts above is the total combined weight of cans and bottles.