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professor190 [17]
3 years ago
13

A collector has 160 movie posters and 120 band posters. She wants to sell 24 movie posters but still have her poster collection

maintain the same ratio of 160:120. If she sells 24 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell.
Mathematics
1 answer:
Maksim231197 [3]3 years ago
8 0

Answer:

Step-by-step explanation:

The collector has 160 movie posters and 120 band posters.

She wants to sell 24 movie posters but still have her poster collection maintain the same ratio of 160:120.

Total ratio = 160 + 120 = 280

If she sells 24 movie posters, it means

24 = 160/280 × x = 160x/280

Where x = total number of movie posters and band posters sold

24 × 280 = 160x

160x = 6720

x = 6720/160 =42

Number of band posters that she should sell = total number of both posters - number of movie posters.

Number of band posters that she should sell = 42-24 =18

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Heather, Eric, and Chang sent a total of 116 text messages over their cell phones during the weekend. Chang sent 3 times as many
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Answer:

Step-by-step explanation:

Declaration

Let Heather's number of messages = x

Let Eric's number of messages = x + 9

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Equation

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Solution

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x + x + 9 + 3x + 27 = 116                             Combine like terms

x + x + 3x + 9 + 27 = 116

5x + 36 = 116                                               Subtract 36 from both sides

5x + 36 - 36 = 116 - 36                                Combine

5x = 80                                                       Divide both sides by 5

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Answer

Heather = 16

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2 years ago
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