Suzette ran for 1.5 hours and biked for 2.5 hours.
a. 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
b. x + y = 4 ....... i
6.5x + 14y = 44.75 ....... ii
From equation i, x = 4 - y
Put x = 4-y into equation into equation ii
6.5x + 14y = 44.75
6.5(4 - y) + 14y = 44.75
26 - 6.5y + 14y = 44.75
Collect like terms
-6.5y + 14y = 44.75 - 26
7.5y = 18.75
Therefore, y = 18.75/7.5
y = 2.5
Therefore, she bikes for 2.5 hours
Since x + y = 4
x = 4 - y
x = 4 - 2.5
x = 1.5
She ran for 1.5 hours.
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