Gavin and John have $150 altogether. John has $46 less than Gavin. How much money does Gavin have?
150/2 = 75
46/2 = 13
Gavin = 75 +13 = 88
John = 75 - 13 = 62
150/2 = 75
46/2 = 23
Gavin = 75 +23 = 98
John = 75 - 23 = 52
or .... in a more direct way:
amount for Gavin ---- x
amount for John = x-46
x +x-46 = 150
2x = 196
x = 98
So Gavin has $98 and John has 98-46 or $52
To find out how much money Gavin has, we need to set up an equation using the information given.
Let's assume that Gavin has x dollars.
According to the second sentence, John has $46 less than Gavin. So, John will have x - $46.
The total amount of money they have together is $150. So, we can write the equation:
x + (x - $46) = $150
Now, let's solve the equation to find the value of x.
Combining like terms, we get:
2x - $46 = $150
Add $46 to both sides:
2x = $150 + $46
2x = $196
Divide both sides by 2 to isolate x:
x = $196 / 2
x = $98
Therefore, Gavin has $98.