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KatRina [158]
3 years ago
5

Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters. They have a value

of $4.10. She says she will give him the coins if he can tell her how many of each she is holding. Solve this problem for Jack.
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0

Answer:

Lulu has 14 quarters and 6 dimes

Step-by-step explanation:

Let x be the number of dimes and y the number of quarters. The sum of quarters and dime is 20 coins. Then:

x + y = 20

We also know that the value of each dime is $ 0.10 and the value of each quarter is $0.25. The total value of the coins is $4.10. Then, the number of dimes times 0.10 plus the number of quarters times 0.25 will be 4.10:

0.10x + 0.25y = 4.10

So, we have a system of 2 equations and 2 unknowns:

x + y = 20

0.10x + 0.25y = 4.10

Let´s solve the first equation for y:

x + y = 20

subtract x from both sides

y = 20 - x

And now let´s replace y in the second equation:

0.10x + 0.25(20 - x) = 4.10

Apply distributive property

0.10x + 5 - 0.25x = 4.10

subtract 5 from both sides of the equation

-0.15x = -0.9

Divide by -0.15 both sides of the equation

x = 6

Now let´s calculate y:

y = 20 - x

y = 20 - 6 = 14

Lulu has 14 quarters and 6 dimes

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We know that the percentage amount of any number can be found by first converting the the given percentage to a fraction and then multiplying it by the given number. Thus, in our case, the exact value, that is 48% of 1165 can be calculated as follows:

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3 years ago
What is the diameter of a circular field whose area is 616cm^2<br><br>​
Oksana_A [137]

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<h2>28cm</h2>

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-------------------------------------------------------------------------------------------------------------The beautiful thing about learning is that no one can take it away from you!

B.B.King

Thanks!

Have a great day!

~ms115~

3 0
2 years ago
Read 2 more answers
Need help I got 23,294 as the answer but it’s not an option please explain how you got the answer.
OLEGan [10]

Answer:

A

Step-by-step explanation:

Calculation seems correct to me, with d the distance and h the height of the plane, and i got the same value. Closest value is A tho, so i'd stick with it.

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3 years ago
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