Question 906780: Jerry Rice, who played the majority of his career with the San Francisco 49ers and the Oakland Raiders, holds the all-time record for touchdown (TD) passes caught. Here are some interesting facts about this feat.
b dot He caught 30 more TD passes from Steve Young than he did from Joe Montana.
b dot He caught 39 more TD passes from Joe Montana than he did from Rich Gannon.
b dot He caught a total of 156 TD passes from Young, Montana, and Gannon.
Determine the number of touchdown passes Rice has caught from Young, from Montana, and from Gannon.
Young ----TD passes
Montana -----TD passes
Gannon----------TD passes
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! let y equal the number of passes he caught from young.
let m equal the number of passes he caught from montana.
let g equal the number of passes he caught from gannon.
your equations are:
y = m + 30
m = g + 39
g = g
since the total number of passes he caught from these 3 is 156, you have another equation that is shown below:
y + m + g = 156
if you replace m with g + 39, this formula becomes:
y + g + 39 + g = 156
if you replace y with m + 30, this formula becomes:
m + 30 + g + 39 + g = 156
combine like terms to get:
m + 69 + 2g = 156
since you know that m = g + 39, you can replace m with g + 39 to get:
g + 39 + 69 + 2g = 156
combine like terms to get:
3g + 108 = 156
now you have one equation with one unknown variable and you can solve for g in this equation.
subtract 108 from both sides of the equation to get:
3g = 156 - 108
combine like terms to get 3g = 48
divide both sides of the equation by 3 to get g = 16
you have g = 16
you know that m = g + 39 so you get m = 55
you know that y = m + 30 so you get y = 85
you now have:
g = 16
m = 55
y = 85
add them up and they total 156
since you know that y + m + g is equal to 156, this confirms the solutions are good.
your solutions are:
jerry rice caught 16 touchdown passes from rich gannon.
jerry rice caught 55 touchdown passes from joe montana.
jerry rice caught 85 touchdown passes from steve young.
|
|
|
