Laura spends 2/3 of her vacation in Texas and the remaining 9 days in Florida. How do you find the number of days she spends in Texas?

Question

1339 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-11T04:42:25

Laura spent #18# days in Texas.

If we consider the total number of vacation days as #x#, we can write the following from the given data:

#x=2/3 x+9#

Multiply all terms by #3#.

#3x=2x+27#

Subtract #2x# from each side.

#x=27#

Since the total number of vacation days was #27# and #2/3# of this was spent in Texas, the number of days in Texas amounted to:

#27xx2/3=9xx2=18#