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miskamm [114]
3 years ago
6

Asa saves dimes and quarters so that he will have exact change for he bus. He dabs and then dumps the container that he has been

using for collecting his coins and finds he has 47 coins that are worth $9.50. How many of each coin does he have?
Mathematics
1 answer:
koban [17]3 years ago
7 0

Asa has 15 dimes and 32 quarters.

Step-by-step explanation:

Given,

Total coins = 47

Worth of coins = $9.50 = 9.50*100 = 950 cents

1 dime = 10 cents

1 quarter = 25 cents

Let,

Number of dimes = x

Number of quarters = y

According to given statement;

x+y=47      Eqn 1

10x+25y=950   Eqn 2

Multiplying Eqn 1 by 10

10(x+y=47)\\10x+10y=470\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(10x+25y)-(10x+10y)=950-470\\10x+25y-10x-10y=480\\15y=480

Dividing both sides by 15

\frac{15y}{15}=\frac{480}{15}\\y=32

Putting y=32 in Eqn 1

x+32=47\\x=47-32\\x=15

Asa has 15 dimes and 32 quarters.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/2670657
  • brainly.com/question/2821386

#LearnwithBrainly

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Arada [10]
Hello!

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3 0
3 years ago
A bag contains white marbles and red marbles, 20 in total. The number of white marbles is 5 more than 2 times the number of red
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Answer:

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Step-by-step explanation:

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r = 5 ← number of red marbles

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dybincka [34]

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Step-by-step explanation:

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7 0
3 years ago
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Answer:

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To get a perpendicular line, we need the negative reciprocal of the slope. This means that the sign switches and numerator and denominator flip:

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Step-by-step explanation:

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