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motikmotik
3 years ago
15

Barney and Betty break into a parking meter with $3.90 in dimes and quarters in it (legal disclaimer: don't do this) and agree t

hat Barney will get all the dimes, and Betty will get all the quarters. (Barley isn't terribly bright) Barney ends up with four more coins than Betty. How much money did each get(
Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

Barney got 14 dimes and Betty got 10 quarters.

Step-by-step explanation:

Since there are only dimes and quarters in the parking meter, the total money must be equal to:

0.1*dimes + 0.25*quarters = 3.9

Since Barney got all the dimes and he has four more coins than Betty, then the number of dimes is:

dimes = quarters + 4

Applying the second expression on the first, we have:

0.1*(quarters + 4) + 0.25*quarters = 3.9\\0.1*quarters + 0.4 + 0.25*quarters = 3.9\\0.35*quarters = 3.9 - 0.4\\0.35*quarters = 3.5\\quarters = \frac{3.5}{0.35} = 10

dimes = quarters + 4 = 10 + 4 = 14

Barney got 14 dimes and Betty got 10 quarters.

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maria [59]

Answer:

He needs 16 ounces of raisins and 8 ounces of nuts

Step-by-step explanation:

Let

x -----> the number of ounces of raisins

y -----> the number of ounces of nuts

we know that

x+y=24 -----> equation A

x=2y -----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for y

(2y)+y=24

3y=24

y=8 ounces of nuts

Find the value of x

x=2(8)=16 ounces of raisins

therefore

He needs 16 ounces of raisins and 8 ounces of nuts

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3 years ago
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2 years ago
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schepotkina [342]

Answer:

Jiri is 34 years old.

Step-by-step explanation:

The first thing you want to do is subtract 6 from 74, since Pamela is 6 years older than jiri and their ages summarized is 74, this spans the age difference.

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