SOLUTION: 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 in

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.
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