Kelly and Rachel collected 193 pounds of newspaper between them. Kelly collected 35 pounds more than Rachel. How many pounds of newspaper did each girl collect?
A.
Kelly: 79 pounds; Rachel: 114 pounds
B.
Kelly: 114 pounds; Rachel: 149 pounds
C.
Kelly: 114 pounds; Rachel: 79 pounds
D.
Kelly: 149 pounds; Rachel: 114 pounds
that don't help i need someone with answers
Let's denote the amount of newspaper collected by Kelly as 'K' and the amount collected by Rachel as 'R'.
We know that Kelly collected 35 pounds more than Rachel, so we can set up the equation: K = R + 35.
We also know that the total amount collected is 193 pounds, so we can set up the second equation: K + R = 193.
Now we can solve this system of equations to find the values of K and R.
Substituting the value of K in terms of R from the first equation into the second equation, we get (R + 35) + R = 193.
Combining like terms, we have 2R + 35 = 193.
Subtracting 35 from both sides of the equation, we get 2R = 158.
Dividing both sides of the equation by 2, we get R = 79.
Now we can substitute this value of R back into the first equation to find K: K = 79 + 35 = 114.
Therefore, Kelly collected 114 pounds of newspaper, and Rachel collected 79 pounds.
So the answer is option C. Kelly collected 114 pounds, and Rachel collected 79 pounds.
NOW
K + R = 193
K = R + 35
solve the system