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Elza [17]
3 years ago
13

At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $38. Tori bought three pairs of gloves and five

hats for $50. What were the prices for the gloves and hats?
Write two equations you can use to solve the problem. Use to represent the price for each pair of gloves and use h to represent the price for
each hat.
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer: The price for the gloves were $5 each and the price of the hats were $7 each.

Step-by-step explanation:

2g + 4h = 38    solve by elimination

3g  + 5h = 50

-3(2g + 4h) = 38(-3)           -6g -12h=  -114

2 (3g + 5h)= 50(2)                 6g + 10h =100

                                             0 + -2h= -14

                                                      h= 7

-6g -12(7)=-114

-6g -84 = -114

      + 84    +84

-6g =-30

g= 5

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Answer:

<u>$4</u> is spent on a big pail and <u>$2</u> is spent on a small pail.

Step-by-step explanation:

Given:

10$ is spent on 2 big pails and 1 small one.

A small pail cost half as much as each big one.

Now, to find the amount spent on a big pail and on a small pail.

Let the cost of a big pail be x.

And the cost of small pail be \frac{x}{2} .

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According to question:

(x+x)+\frac{x}{2}=10

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<em>Multiplying both sides by 2 we get:</em>

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<em>Dividing both sides by 5 we get:</em>

x=4.

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The fraction of the carpet that is covered by the rug is \frac{1}{15}.

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