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)

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

Step-by-step 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

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right