Nacy and Kerry have the same number of coins. Nancy has only dimes and Kerry has only quarters. if Kerry has 3.00 more than Nancy, how much does she have?
compare the two values. If each has n coins, then
25n = 10n+300
To find out how much money Kerry has, we'll need to determine the value of a single dime and a single quarter.
Since Nancy and Kerry have the same number of coins, let's assume they both have x coins.
The value of a single dime is 0.10 dollars and the value of a single quarter is 0.25 dollars.
According to the given information, Kerry has 3.00 dollars more than Nancy. This can be represented as:
0.25x = 0.10x + 3.00
To solve this equation, we'll isolate the variable x by subtracting 0.10x from both sides:
0.25x - 0.10x = 3.00
Simplifying the equation, we have:
0.15x = 3.00
To isolate x, divide both sides of the equation by 0.15:
x = 3.00 / 0.15
Calculating this, we find:
x = 20
So, Nancy and Kerry each have 20 coins.
To determine how much money Kerry has, we'll multiply the number of coins by the value of a single quarter:
Kerry's amount = 0.25 * 20
Kerry's amount = $5.00
Therefore, Kerry has $5.00.