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BaLLatris [955]
3 years ago
12

A jar of quarters and dimes has total value of $20.70. The jar has 10 more quarters than dimes. To find the numbers of quarters

and dimes
Mathematics
1 answer:
lakkis [162]3 years ago
8 0

There are 62 quarters and 52 dimes in the jar.

Step-by-step explanation:

Given,

Worth of jar coins = $20.70 = 20.70*100 = 2070 cents

1 Quarter = 25 cents

1 Dime = 10 cents

Let,

Number of quarters = x

Number of dimes = y

According to given statement;

25x+10y=2070    Eqn 1

x=y+10     Eqn 2

Putting value of x from Eqn 2 in Eqn 1

25(y+10)+10y=2070\\25y+250+10y=2070\\35y=2070-250\\35y=1820\\

Dividing both sides by 35

\frac{35y}{35}=\frac{1820}{35}\\y=52

Putting y=52 in Eqn 2

x=52+10\\x=62

There are 62 quarters and 52 dimes in the jar.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/12801884
  • brainly.com/question/12817595

#LearnwithBrainly

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2 years ago
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli
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Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

Solving the equation

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x+16= 9.5*8

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6 0
3 years ago
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NemiM [27]

Answer:

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Step-by-step explanation:

* Lets revise how to make the completing square

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∵ x² + 8x = 33 ⇒ subtract 33 from both sides

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