Charles rode his bike 19 miles each week while training. here is his record of the number of miles he rode Monday 2.2mi Tuesday? Wensday 3.8 mi Thursday? Friday 5.4 mi Charles rode 1.6 miles more on Thursday than Tuesday. Find the number of miles he rode on Tuesday and Thursday

Let x = miles that Charles rode on Tuesday, and let

y = miles he rode on Thursday.

The given data is therefore

Mon Tue Wed Thu Fri

2.2 x 3.8 y 5.4

Because Charles rode 1.6 more miles on Thursday than Tuesday, therefore

y = x + 1.6 (1)

The total miles for the week is 19 miles, therefore

2.2 + x + 3.8 + y + 5.4 = 19

x + y + 11.4 = 19

x + y = 7.6 (2)

Substitute equation (1) into equation (2).

x + (x + 1.6) = 7.6

2x + 1.6 = 7.6

2x = 6

x = 3

From (1), obtain

y = x + 1.6 = 3 + 1.6 = 4.6

Answer:

3 miles on Tuesday

4.6 miles on Thursday