Answer:
Day 1 =8
Day 2 = 12
Day 3 = 18
Day 4 = 27
Explanation:
Let x be how far he rode on the first day
He rode 1.5 times how far he rode on the first day on the second day
1.5 x is how far he rode on the second day
He rode 1.5 times how far he rode on the second day on the third day
1.5(1.5 x) is how far he rode on the third day
2.25x
He rode 1.5 times how far he rode on the third day on the fourth day
1.5(2.25x) is how far he rode on the fourth day
3.375x
He needs to ride a total of 65 miles
day 1 + day 2 + day3 + day 4 = 65 miles
x + 1.5x + 2.25x + 3.375x = 65
Combine like terms
8.125x = 65
Divide each side by 8.125
8.125x/8.125 = 65/8.125
x=8
He needs to start with 8 miles on the first day
x=8
1.5x = 12
2.25x =18
3.375x =27
Day 1 =8
Day 2 = 12
Day 3 = 18
Day 4 = 27