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8090 [49]
3 years ago
7

During one month of cell phone use, Noah used 200 anytime minutes and 400 text messages, and paid $80.00. The next month, he use

d 150 anytime minutes and 350 text messages, and paid $67.50. Which statement is true? Each text message costs 5 cents more than each anytime minute. Each anytime minute costs 10 cents more than each text message. A text message and an anytime minute each cost 25 cents. Each text message costs double the amount of an anytime minute.

Mathematics
2 answers:
saw5 [17]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Troyanec [42]3 years ago
5 0
200x+400y=80
150x+350y=67.5

200x+400y=80
200x=80-400y
x=0.4-2y
150(0.4-2y)+350y=67.5
60-300y+350y=67.5
50y=7.5
y=0.15 or 15 cents per text
200x+400y=80
200x+400(0.15)=80
200x+60=80
200x=20
x=0.1 or 0.10 per minute
So each text costs 5 cents more than each anytime minute

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From the ratio computed, the numbers will be 420 and 980.

<h3>How to calculate the ratio</h3>

From the information given, we are to divide 1400 in the ratio 7:3. The smaller number will be:

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For this case we have the following quadratic equation:

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Rewriting the equation we have:

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From here, we have:

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Substituting values in the quadratic equation we have:

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Rewriting the equation we have:

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