After driving 120 miles, a motorist found that he had covered 40% of his trip. How many miles did he have to complete his journey?
A. 150
B. 300
C. 180
D. 20
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OpenStudy (calculusxy):
@satellite73
OpenStudy (calculusxy):
@Lena772
OpenStudy (lena772):
B. 300 final answer
OpenStudy (calculusxy):
Can you explain why?
OpenStudy (calculusxy):
@Lena772
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OpenStudy (lena772):
Sure
OpenStudy (anonymous):
the question can be interpreted as "120 is 40% of what number"
translate directly in to math
120
is means \(=\)
40% means \(.4\)
of means \(\times \)
what number, pick a variable, i pick \(x\)
\[120=.4\times x\]
OpenStudy (lena772):
120/40 = 3.
1% of his journey = 3 miles
100% of his journey =300 miles
OpenStudy (anonymous):
solve via
\[120=.4x\iff x=120\div .4=1200\div4=300\]
OpenStudy (calculusxy):
Can you help me with another one?
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OpenStudy (lena772):
Mine is a more simplified way, but if your teacher wants workings you should go with @satellite73