Question

Asna works on a shipping dock at a tire manufacturing plant. She load a pallet with 4 Mudslinger tires and 6 Roadripper tires. The tires on the pallet weigh 212 pounds. She loads a secong pallet with 7 Mudslinger tires and 2 Roadripper tires. The tires on the secong pallet weigh 184 pounds. How much does each Mudslinger and each Roadripper tire weigh? (9th Grade CP Math)

Answer 1

A Mudslinger tire weighs 20.71 pounds and a Roadripper tire weighs 19.52 pounds

Explanation:

Let the weight of a Mudslinger tire=m

Let the weight of a Roadripper tire=r

4 Mudslinger tires and 6 Roadripper tires weigh 200 pounds

4m+6r=200.....(i)

7 Mudslinger tires and 2 Roadripper tires weigh 184 pounds

7m+2r=184....(ii)

To find the values of m and r, we solve the two derived equations simultaneously.

4m+6r=200.....(i)

7m+2r=184....(ii)

Multiply (ii) by 3 to get (iii)

21m+6r=552....(iii)

4m+6r=200.....(i)

SUbtract (i) from (iii)

17m=352

m=352/17=20.71 pounds

Substitute m=20.71 in (i)

4(20.71)+6r=200

6r=200-82.84=117.16

r=117.16/6=19.52 pounds