The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill. Which is the value of u?

u = 0.25
u = 0.75
u = 1.1
u = 2.5

Question

The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill. Which is the value of u?

u = 0.25
u = 0.75
u = 1.1
u = 2.5

anil · Answer

9(u-2) +1.5 u =8.25

9u- 9*2+1.5u=8.25
10.5 u -18=8.25
10.5 u  = 8.25+18
10.5u =26.25

u=26.25/10.5
u=2.5