Mathematics: Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 80 coins with a value of $16.25 inside of the bank.

You have to use this formula v = ⁴⁄₃πr³ or another way would be by entering the value of the radius in google calculator. Step-by-step explanation:Hope this helped :)...

Dylan has a bank that sorts coins as they are dropped

Ответ:

ciara180

14.07.2021

Mathematics

The equations

x + y = 80

0.25x + 0.1y = 16.25

The solution

55 dimes and 25 quarters

Step-by-step explanation:

Given

Let

$x \to$ quarters

$y \to$ dimes

Total = 80

$Worth = \$16.25$

Required

Set up a system of equation to calculate the number of each coin

The total coin of 80 implies that:

x + y = Total

x + y = 80

A dime = $0.1

A quarter = $0.25

So, the worth of the coin is:

0.25 * x + 0.1 * y = Worth

0.25x + 0.1y = 16.25

So, the equations are:

x + y = 80

0.25x + 0.1y = 16.25

Next, solve for x and y

Multiply the second equation by 4

0.25x + 0.1y = 16.25 by 4

x + 0.4y = 65

Subtract from x + y = 80

x- x + y - 0.4y = 80 - 65

0.6y = 15

Solve for y

y = 25

We have:

x + y = 80

x = 80 - y

x = 80 - 25

x = 55

Hence, there are 55 dimes and 25 quarters

0,0(0 оценок)

Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 80 coins with a value of $16.25 inside of the bank.

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question