Select the equation that solves this problem:

Eight coins (dimes and nickels) are worth 60 cents. How many dimes are
there?

d = the number of dimes, while 8-d equals the numbers of nickels, if you multiply the number of each coins by their value ( 10 cents or 5 cents ) and add them, you should get 60

got it

Select the equation that solves this problem:

Eight coins (dimes and quarters) are worth 170 cents. How many dimes are
there?
a. 10d + 25(11 - d) = 170
b. 10d + 25(8 - d) = 170
c. 10d + 5(8 - d) = 60
d. 10d + 5(11 - d) = 60

@seco -

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To solve this problem, we'll need to set up an equation based on the given information. Let's use the variable "d" to represent the number of dimes.

The value of a dime in cents is 10, and the value of a nickel is 5. Since we have eight coins, the total value in cents can be expressed as:

10d + 5(8 - d) = 60

Let's break down the equation:

10d represents the value of the dimes in cents.
5(8 - d) represents the value of the nickels in cents. Since we have 8 coins in total, we subtract the number of dimes (d) from 8 to get the number of nickels.
60 represents the total value of all the coins.

Now we can simplify the equation and solve for "d":

10d + 40 - 5d = 60
5d + 40 = 60
5d = 20
d = 4

Therefore, there are 4 dimes in the collection of eight coins.