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koban [17]
3 years ago
6

A team t-shirt costs $3 per adult and $2 per child. On a certain day, the total number of adults (a) and children (c) who bought

shirts was 100, and the total money collected was $275. Which of the following options represents the number of children and the number of adults who purchased team shirts that day, and the pair of equations that can be solved to find the numbers? 75 children and 25 adults Equation 1: a + c = 100 Equation 2: 3a − 2c = 275 75 children and 25 adults Equation 1: a + c = 100 Equation 2: 3a + 2c = 275 25 children and 75 adults Equation 1: a + c = 100 Equation 2: 3a − 2c = 275 25 children and 75 adults Equation 1: a + c = 100 Equation 2: 3a + 2c = 275
Mathematics
1 answer:
GenaCL600 [577]3 years ago
4 0
The answer is 25 children and 75 adults. Equation 1: A+C= 100 and equation 2: 2c+3a= 275 
25(2)=50 75(3)=225. 
225+50=275 
Also 75+25=100
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If we want to compute f(2+h), we have to substitute every occurrence of x with 2+h in the definition of the function:

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Similarly, computing f(2) means to substitute the input with 2:

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A pet store has 5 puppies, including 2 poodles, 2 terriers, and 1 retriever. Rebecka and Aaron, in that order, each select one p
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1/4

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The older floppy diskettes measured 5 and 1/4 inches on each side .what was the diagonal length of the diskette to the nearest t
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8 0
3 years ago
9
Mnenie [13.5K]

Answer: n = 75; p = 30

Explanation: (a) 5p + 4n = 450 where p is for pen and n is for notebook.

(b) 10p + 3n = 525

We can use the elimination method to solve these two equations.

1. Multiply the first equation by 2 so that 10p will cancel out:

2(5p + 4n = 450)

- 10p + 3p = 525

10p + 8n = 900

- 10 p + 3n = 525

5n = 375

2. Divide by 5 to get n alone: n = 75

3. Plug 75 into the first equation: 5p + 4(75) = 450

5p + 300 = 450

4. Subtract 300 from 450: 5p = 150

5. Divide by 5 to get p alone: p = 30

We can test if this is correct by plugging our answers into the second equation:

10(30) + 3(75) = 525

300 + 225 = 525

525 = 525

This is a true statement, which means that our answers are correct.

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