Question

three receivers Jerry Rice Larry Fitzgerald Randy Moss are comparing catch yards at the end of their careers. Jerry Rice has 5,476 more yd than Larry Fitzgerald. Moss has 2127 less yards than Larry Fitzgerald. the three receivers combined have 55,606 yards. how many yards does Jerry Rice have?

Answer 1

Jerry Rice has 22,895 yards. The solution involves setting up algebraic equations based on the given yardage differences and combining them to find a single variable representing Larry Fitzgerald's yardage, then using it to find Jerry Rice's total yardage.

Step-by-step explanation:

To solve this problem, we need to establish relationships between the catch yards of the three football players using algebra. Let's use the following symbols to represent their catch yards:

• L for Larry Fitzgerald's yards
• J for Jerry Rice's yards
• R for Randy Moss's yards

According to the problem, we have the two following relationships:

1. Jerry Rice has 5,476 more yd than Larry Fitzgerald, which can be expressed as J = L + 5,476.
2. Randy Moss has 2,127 less yards than Larry Fitzgerald, which can be stated as R = L - 2,127.

The combined yardage of the three players equals 55,606 yards, leading to the equation:

L + J + R = 55,606

Now, we substitute J and R with the expressions in terms of L from our first two equations:

L + (L + 5,476) + (L - 2,127) = 55,606

Combining like terms gives us:

3L + 3,349 = 55,606

Now, let's solve for L:

3L = 55,606 - 3,349

3L = 52,257

L = 17,419

Now that we have Fitzgerald's yardage, we can determine Jerry Rice's yardage:

J = 17,419 + 5,476

J = 22,895 yards

Therefore, Jerry Rice has 22,895 yards.

Answer 2

three receivers Jerry Rice Larry Fitzgerald Randy Moss are comparing catch yards at the end of their careers. Jerry Rice has 5,476 more yd than Larry Fitzgerald. Moss has 2127 less yards than Larry Fitzgerald. the three receivers combined have 55,606 yards. how many yards does Jerry Rice have?​

Let

x -----> the number of yards that Jerry Rice has

y -----> the number of yards that Larry Fitzgerald has

z ----> the number of yards that Randy Moss has

we have that

x=y+5,476 ------> equation A

z=y-2,127 ------> equation B

x+y+z=55,606 -------> equation C

substitute equation A and equation B in equation C

(y+5,476)+y+(y-2,127)=55,606

solve for y

3y+3,349=55,606

3y=52,257

y=17,419 yds

Find the value of x

x=y+5,476

x=17,419+5,476=22,895

therefore

the answer is

Jerry Rice has 22,895 yards