Andy hit three less field goals than three times the number of field goals Gary hit. Together, they scored 17 field goals. Write and Solve an equation to find how many field goals Gary and Andy scored.
697
A = 3G-3
A + G = 17
(3G-3) + G = 17
Solve for G, then A.
Let's define two variables to represent the number of field goals made by Andy and Gary.
Let's say 'x' represents the number of field goals made by Gary.
Therefore, "three times the number of field goals Gary hit" can be represented as 3x.
According to the problem, Andy hit three less field goals than three times the number of field goals Gary hit. Therefore, the number of field goals made by Andy can be represented as 3x - 3.
Together, Andy and Gary scored a total of 17 field goals. So we can set up an equation as follows:
x + (3x - 3) = 17
Now, let's solve the equation to find the value of 'x' (number of field goals made by Gary):
4x - 3 = 17
4x = 17 + 3
4x = 20
x = 20/4
x = 5
So, Gary made 5 field goals.
To find the number of field goals made by Andy, we substitute the value of 'x' back into the equation.
Andy = 3x - 3
Andy = 3(5) - 3
Andy = 15 - 3
Andy = 12
Therefore, Andy made 12 field goals.
So, Gary and Andy scored 5 and 12 field goals, respectively.