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guapka [62]
2 years ago
11

A woman bought some large frames for $19 each and some small frames for $9 each at a closeout sale. If she bought 18 frames for

$222, find how many of each type she bought.
Mathematics
1 answer:
MAXImum [283]2 years ago
8 0

Answer: 6 large frames and 12 small frames

Step-by-step explanation:

We define the following:

x = number of large frames

y =  number of small frames

Make the following equations:

x + y = 18

19x + 9y = 222

Use system of equations to solve. We find the value of x first.

y = 18 - x

⇒ 19x + 9(18 - x) = 222

⇒ 19x + 162 - 9x = 222

⇒ 10x + 162 = 222

⇒ 10x = 60

⇒ x = 6

Find value of y:

6 + y = 18

y = 12

∴ 6 large frames and 12 small frames were purchased.

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Gelneren [198K]

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Look below

Step-by-step explanation:

So I will use an example to try and show you how to do this.

If we have 1/2 + 1/3, we know that we don't have like denominators. We can change this by finding one. All we need to do is multiply our denominators. So in our example, that would be 2*3=6. Our new denominator would be 6. So now we would have 1/6 + 1/6 which isn't the same as our old equation. That is because we haven't multiplied our top numbers yet. To do this, we need to multiply the top number by the opposite denominator like so, 3/6+2/6.

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Thanks! Hope you choose me for brainliest!!! Have a nice day!

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