Marta's jump rope is 10" shorter than four times the length of Dilbert's rope. If both their ropes laid together end to end and
measured 120" long, how long is Marta's rope?
1 answer:
Answer:
Marta's rope is 94"
Step-by-step explanation:
D = dilberts rope length
M = marta's rope length
Marta's jump rope is 10" shorter than four times the length of Dilbert's rope
M = 4D-10
both their ropes laid together end to end and measured 120" long
M+D = 120
Substitute 4D-10 for M in the second equation
4D-10 + D = 120
Combine like terms
5D-10=120
Add 10 to each side
5D-10+10 =120+10
5D =130
Divide by 5
5D/5 = 130/5
D =26
Now we need to find M
M+D = 120
M +26 = 120
Subtract 26 from each side
M = 120-26
M = 94
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