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masya89 [10]
3 years ago
14

4) Ori drove 203.75 miles while on vacation. Assuming he only drove at the set speeds 55 miles per hour

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0
X=number of hours, when Ori drove  at 55 mph
y=number of hours, when Ori drove at 40 mph
We can suggest the next system of equations:

x+y=4.25
55x+40y=203.75

We solve this system of equation by substitution method.

x+y=4.25          ⇒y=(4.25-x)

55x+40(4.25-x)=203.75
55x+170-40x=203.75
15x=203.75-170
15x=33.75
x=33.75/15=2.25

y=(4.25-x)=4.25-2.25=2

Answer: Ori drove 2.25 hours at 55 mph and 2hours at 40 mph.
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