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AlexFokin [52]
3 years ago
12

A moneybag contains 10 nickles and quarters that total is $1.50. How many of each are there?​

Mathematics
2 answers:
klasskru [66]3 years ago
7 0
10nickels and 4 quarters
s2008m [1.1K]3 years ago
7 0

Answer:

5 Quarters

5 Nickels

Step-by-step explanation:

Amount of nickels: n

Amount of quarters: q

n = 5 cents

q = 25 cents

n+q=10

5n + 25q =150

n=10-q

Substitute.

5(10-q)+25q=150

50-5q+25q=150

50+20q=150

20q=100

q=5

5 Quarters

5 Nickels

The other question:

Dimes = D

Quarters = Q

d + q = 13

q = 13 - d

10d + 25(13 - d) = 220

Solve this equation.

10d + 325 - 25d = 220

325 - 15d = 220

325 = 220 + 15d

105 = 15d

7 = d

<u>7 dimes </u>

<u>6 quarters</u>

Third question:

11 tickets total = $34

Number of children's tickets = c

Number of adult's tickets = a

c = $2

a = $4

c + a = 11

a = 11 - c

2c + 4(11-c) = 34

2c + 44 - 4c = 34

44 - 2c = 34

44 = 34 + 2c

10 = 2c

5 = c

<u>5 children's tickets</u>

<u>6 adult's tickets</u>

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As given in the question and also shown in the diagram shown below


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