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tester [92]
3 years ago
6

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
Mathematics
1 answer:
PolarNik [594]3 years ago
8 0
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

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