Ella and Nico had $250 altogether. If Nico spent $35, he would still have $5 more than Ella. How much money did Ella have?
x + x + 40 = 250
2x = 210
x = 105
. If Nico spent $35, he would still have $5 more than Ella. How much money did Ella have?
To solve this problem, let's set up an equation. Let's represent the amount of money Ella had with "E" and the amount of money Nico had with "N."
We are given two pieces of information. First, we know that Ella and Nico had $250 altogether, so we have the equation:
E + N = 250
Second, we know that if Nico spent $35, he would still have $5 more than Ella. Mathematically, we can represent that with the equation:
N - 35 = E + 5
Let's use these two equations to find the value of E, representing how much money Ella had.
We can start by solving the first equation for N:
N = 250 - E
Now, we'll substitute this value of N in the second equation:
250 - E - 35 = E + 5
Simplifying the equation:
215 - E = E + 5
Now, we'll bring all the terms with E on one side:
215 - 5 = E + E
210 = 2E
Divide both sides by 2 to solve for E:
E = 210 / 2
E = 105
Therefore, Ella had $105.