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stiv31 [10]
3 years ago
9

I have 3 times as many nickels as quarters. How many quarters do I have if I have

Mathematics
1 answer:
Nostrana [21]3 years ago
7 0

Answer:

18 Nickels, 6 Quarters

Step-by-step explanation:

For this problem, let's build a system of equations to find the number of nickels and dimes you have.  Let N represent the number of nickels and Q represent the number of quarters you have.

The first equation, you have 3 times as many nickels as quarters:

N = 3Q

The second equation, you have a total of $2.40.  Given we know nickels are $0.05 and quarters are $0.25:

0.05N + 0.25Q = 2.40

Now, let's use the two equations to find the number nickels and quarters you have.

N = 3Q

0.05N + 0.25Q = 2.40

0.05(3Q) + 0.25Q = 2.40

0.15Q + 0.25Q = 2.40

0.4Q = 2.40

Q = 6

Now, let's plug the value back into the equation:

N = 3Q

N = 3(6)

N = 18

And we can verify these values with the second equation:

0.05N + 0.25Q = 2.40

0.05(18) + 0.25(6) ?= 2.40

0.90 + 1.50 ?= 2.40

2.40 == 2.40

Therefore, we have found and verified the amount of Nickels and Quarters you have.

Cheers.

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First, let's find the net decrease: Peter started at 80kg and his weight is now 64kg, which is a 16kg decrease. Next, we need to find what percentage of 80kg 16kg represents. First, let's find what part of 80 is 16:

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A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 5% vinegar. The chef wants to make 150 mil
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Suppose the chef mixes x mL of vinegar with y mL of the dressing with 5% vinegar. She wants to end up with a 150 mL mixture, so

x + y = 150

Each mL of pure vinegar contributes - no surprise here - 1 mL of vinegar to the new mixture. Each mL of the 5% vinegar dressing contributes 0.05 mL of vinegar. She wants a dressing with 24% vinegar, meaning 24% of the 150 mL solution should be vinegar, or 36 mL, so

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