Suzette ran for 1.6 hours and biked for 2.4 hours.
Let x = total hours Suzette ran.
Let y = total hours Suzette biked.
The equation to solve the question will be:
x + y = 4 ...... i
6.5x + 14y = 44.75 ....... ii
From i, y = 4 - x
Put the value of y into equation ii
6.5x + 14y = 44.75
6.5x + 14(4 - x) = 44.75
6.5x + 56 - 14x = 44.75
Collect like terms
6.5x - 14x = 44.75 - 56
-7.5x = -11.25
x = 11.25/7.5
x = 1.6 hours
Since x + y = 4
1.6 + y = 4
y = 4 - 1.6
y = 2.4 hours.
Suzette ran for 1.6 hours and biked for 2.4 hours.
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