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Jorge has some dimes and quarters. He has 10 more dimes than quarters and the collection of coins is worth $2.40. How many more dimes and quarters does Jorge have

Respuesta :

Okay, so let's make the variable x the amount of quarters.
We also need to assign the value to the numbers as well. So then you just assign 25 to quarters and 10 to dimes. So the equation should look like this:
25x + 10(x+10) = 240 (Values represented in cents...)
Distribute...
25x + 10x + 100 = 240
Then...
35x = 140
Define x
x = 4
So there are 4 quarters and 14 dimes

Jorge have more 14 dimes and 4 quarters.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Let, the amount of quarters is p

Given that, Jorge has 10 more dimes than quarters and

The value of the coin collection is $2.40.

We simply assign 25 to quarters and 10 to dimes after that. Thus, the equation should show as follows :

25p + 10(p+10) = 240

25p + 10p + 100 = 240

35p = 140

Divided by 35 both the sides

p = 4

So, there are 4 quarters and 14 dimes

Hence, Jorge have more 14 dimes and 4 quarters.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

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