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Isabel 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 950 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

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- anonymous

If we let x be cans, then let y represent bottles

- anonymous

hence the total weight would be the weight of how many bottles she has + the weight of how many cans she has

- anonymous

so say x represents bottles, how much does x bottles weigh?

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## More answers

- anonymous

17x right?

- anonymous

because 1 bottles weighs 17ounces (i.e when x=1... and so on)

- anonymous

sorry, x is cans not bottles. sorry for any confusion

- anonymous

oops, cans weigh14 ounces not 17 haha my typing is poor

- anonymous

its ok i figured what u meant

- anonymous

so x=14

- anonymous

no, x is a can

- anonymous

oh

- anonymous

14ounces is how much one can weighs

- anonymous

so how much would 2 cans weigh (i.e x=2)...it would be 14*2=28ounces right?

- anonymous

28

- anonymous

good

- anonymous

so how much would x cans weigh and y bottles weigh

- anonymous

so x cans would weigh 14x and y bottles would weigh 70y

- anonymous

hence, total weight = 14x+70y if we combine the bottles and cans right?

- anonymous

yes

- anonymous

good so we also know that x+y=950 (no. of cans and bottles) and total weight=14x+70y

- anonymous

seems here we aren't told how many bottles and cans of each there are, only that there are 950 cans and bottles together

- anonymous

im confused lol
x = 14 ounce cans
bottles are 70 ounces
950 total
Write an expression for the combined total weight (in ounces) of the cans and bottles in her truck.

- anonymous

no x does not equal 14

- anonymous

14 represents HOW MUCH x weighs

- anonymous

so we write it as 14x

- anonymous

yes u are sorry that came out wrong

- anonymous

because if i said i was holding two cans, that means x=2 which also means 2 cans weighs, 14x=14*x=28 ounces

- anonymous

14x+70(950-x) ???

- anonymous

that irrelevent to be honest,
our expression is simply:
Total weight = 14x+70y

- anonymous

it seems that 950 cans and bottles is redundant for the total weight expression unless we know how many cans and bottles there are

- anonymous

thanks but i inputted that answer and it was correct

- anonymous

haha interesting... that only gives an expression for the weight of bottles haha

- anonymous

im just being pedantic thats all. the problem statement needs re-wording if thats the answer

- anonymous

but well done!

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