Ben has a collection of 15 coins in quarters and dimes. There are 7 in the collection. Write the ratio of quarters to dimes.
7 to 8
This doesn't make sense to me. Please proofread, clarify, and repost.
15-7q = 8 d
To find the ratio of quarters to dimes, we first need to determine how many quarters and how many dimes there are in Ben's collection.
Let's assume "q" represents the number of quarters and "d" represents the number of dimes.
According to the information given, there are a total of 15 coins in Ben's collection, and the collection contains 7 coins. Therefore, we can set up the following equation to represent the situation:
q + d = 15 (Equation 1)
Let's simplify this equation further.
We are also told that there are 7 coins in the collection, so we can set up another equation to show that:
q + d = 7 (Equation 2)
Now, we have a system of two equations with two variables. We can solve this system to find the values of "q" and "d," which will allow us to determine the ratio of quarters to dimes.
To solve this system, we can use the method of substitution or elimination.
Let's use the method of substitution:
From Equation 2, we can rewrite it as:
q = 7 - d
Now we substitute this value of "q" into Equation 1:
(7 - d) + d = 15
Simplifying:
7 + d - d = 15
7 = 15
This equation is not valid, so there must have been a mistake in the information given.
Please double-check the information and provide the correct values.