rahyemw04
Answered

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Question 14 options:
A jar contains 50 coins, all of which are dimes and quarters.

The total value of the coins in the jar is $10.10.

How many dimes / quarters are in the jar?

Sagot :

mrmanieack

Answer:

16 dimes

34 quarters

34/5+16/10=10.10

The currency called the dollar can be, split into smaller currencies called dimes, quarters, nickels, and pennies.

We have 34 quarters and 16 dimes in the jar.

Let's represent

Number of dimes = d

Number of quarters = q

Note that:

1 dime = $0.10

1 quarter = $0.25

Our system of equations is given as:

d + q = 50.........Equation 1

d = 50 - q

0.1d + 0.25q = 10.10............Equation 2

We substitute 50 - q for d in Equation 2

0.1(50 - q) + 0.25q = 10.10

5 - 0.1q + 0.25q =  10.10

Collect like terms

- 0.1q + 0.25q =  10.10 - 5

0.15q = 5.1

Divide both sides by 0.15

0.15q/0.15 = 5.1/0.15

q = 34

We have 34 quarters

Solving for the number of dimes. remember:

d = 50 - q

d = 50 - 34

d = 16

We have 16 dimes

Therefore, we have 34 quarters and 16 dimes in the jar.

To learn more, visit the link below:

brainly.com/question/14558341

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