Rob has 40 coins, all dimes and quarters, worth $7.60. How many dimes and how many quarters does he have?

24 quarters and 16 dimes because 24 25=600 and 16 10=160 add them 2gether will be 760=$7.60

Answered by kanoisha | 2024-06-10

The required Rob has 16 **dimes **and 24 **quarters **as he has a total of 40 coins.
What are equation models?
The **equation model **is defined as the model of the given situation in the form of an equation using **variables **and constants .
Here, Let x be the number of dimes that Rob has, and y be the number of quarters.
We know that he has a total of 40 coins, so,
x + y = 40 ( 1)
We also know that the value of all his coins is $7.60. The value of x **dimes **is 10x cents, and the value of y **quarters **is 25y cents. So,
10x + 25y = 760 ( 2)
Now we can solve for x and y. Let's start by solving equation 1 for one of the variables:
x + y = 40
y = 40 - x
Substitute this expression for y into equation 2:
10x + 25y = 760
10x + 25(40-x) = 760
10x + 1000 - 25x = 760
-15x = -240
x = 16
So Rob has 16 dimes. We can use equation 1 to find the number of quarters:
x + y = 40
16 + y = 40
y = 24
So Rob has 24 quarters.
Therefore, Rob has 16 **dimes **and 24 quarters .
Learn more about **models **here: https://brainly.com/question/13567219 #SPJ2

Answered by priyankapandeyVT | 2024-06-24

Rob has 16 dimes and 24 quarters. We found this by setting up equations based on the total coins and their value. Solving these equations gives us the quantities of each type of coin.
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Answered by priyankapandeyVT | 2024-10-02