Mathematics, 07.01.2020 23:31 cicimarie2018

There are some nichols dimes and quarters in a large piggy bank for every two nickels there a sweetheart forever to diane’s there in 5/4 there a 500 coins total how many nickels dimes and quarters are in the piggy bank explain your reasoning how much are the coins in the piggy bank worth

Answers: 1

Show answers

Answers

Answer from: Ab20600

There are 80 nickels, 120 dimes and 300 quarters in the piggy bank.

All coins in the piggy bank worth $91.

Step-by-step explanation:

Please consider the complete question:

There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total. How many nickels, dimes, and quarters are in the piggy bank? Explain your reasoning. How much are the coins in the piggy bank worth?

Let n, d, q represent number of nickles, dimes and quarters respectively.

For every 2 nickels there are 3 dimes. We can represent this information in an equation as:

$\frac{2}{n}=\frac{3}{d}...(1)$ or

$n=\frac{2d}{3}...(1)$

For every 2 dimes there are 5 quarters. We can represent this information in an equation as:

$\frac{2}{d}=\frac{5}{q}...(2)$ or

$q=\frac{5d}{2}...(2)$

There are 500 coins total. We can represent this information in an equation as:

n+d+q=500...(3)

We will use substitution method to solve our given system.

Upon substituting equation (1) and equation (2) in equation (3), we will get:

$\frac{2d}{3}+d+\frac{5d}{2}=500$

Multiply the equation by 6:

$\frac{2d}{3}*6+d*6+\frac{5d}{2}*6=500*6$

2d*2+6d+5d*3=3000

4d+6d+15d=3000

25d=3000

$\frac{25d}{25}=\frac{3000}{25}$

d=120

Therefore, there are 120 dimes in the piggy bank.

Upon substituting d=120 in equation (1), we will get:

$n=\frac{2(120)}{3}$

n=2(40)

n=80

Therefore, there are 80 nickels in the piggy bank.

Upon substituting d=120 in equation (2), we will get:

$q=\frac{5d}{2}$

$q=\frac{5(120)}{2}$

q=5(60)

q=300

Therefore, there are 300 quarters in the piggy bank.

Now, we need to find the value of all coins.

We know 1 quarter is worth $0.25, so 300 quarters will be worth $\$0.25\times 300=\$75$ .

We know 1 dime is worth $0.10, so 120 dimes will be worth $\$0.10\times 120=\$12$ .

We know 1 nickel is worth $0.05, so 80 nickels will be worth $\$0.05\times 80=\$4$ .

$\text{All coins worth}=\$75+\$12+\$4$

$\text{All coins worth}=\$91$

Therefore, all coins in the piggy bank worth $91.

Answer from: Quest

It will b. 975 because i’m guessin
Select the correct answer. (image is below) construction is under way at an airport. this map shows

Answer from: Quest

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.