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Anna [14]
3 years ago
5

Vina has $4.70 in quarters, dimes and nickels in her purse. She has eight more dimes than quarters and six more nickels than qua

rters. How many of each coin does she have?
Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

Nickels (0.05): Q + 6

Dimes (0.10): Q + 8

Quarters (0.25): Q

Nickels        +    Dimes      +  Quarters  = Total

0.05(Q + 6)  + 0.10(Q + 8) +   0.25(Q)    = 4.70

0.05Q + 0.30 + 0.10Q + 0.80 + 0.25Q = 4.70

                                         0.40Q + 1.10 = 4.70

                                                   0.40Q = 3.60

                                                            Q = 9

Nickels (0.05): Q + 6  = (9) + 6  = 15

Dimes (0.10): Q + 8   = (9) + 8   = 17

Answer: Nickels = 15, Dimes = 17, Quarters = 9

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Answer:

Part A: Number of cups of blue paint are 3 that are mixed with each cup of red paint.

Part B: \frac{1}{3}

Part C:<em> $8</em>

Step-by-step explanation:

Given that:

The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint is 3:1.

Part A:

The number of cups of blue paint = 3

The number of cups of red paint = 1

In sentence form, it can be written that:

Number of cups of blue paint are 3 that are mixed with each cup of red paint.

Part B:

3 cups of blue paint requires 1 cup of red paint.

\frac{3}{3}=1 cup of blue paint requires \frac{1}{3} cup of red paint.

Here, unitary method is used.

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Step-by-step explanation:

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Step-by-step explanation:

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