Answer:
Step-by-step explanation:
What we know is that A + S = 111. That is, the miles Andre drove plus the miles Scott drove totalled 111 miles. What we also know is that Scott drove quite a bit more than Andre did. Scott drove 7 miles more that ( +7 ) 3 times the number of miles Andrea drove. That looks like this algebraically:
S = 3A + 7
Now we can sub in that value for S to the original equation:
If A + S = 111 and S = 3A + 7, then
A + 3A + 7 = 111 and
4A + 7 = 111 and
4A = 104 so
A = 26 and
S = 3(26) + 7 so
S = 85 miles.
Scott drove 85 miles.
Answer:
472.5
Step-by-step explanation:
Answer: The trip was 440 miles
Step-by-step explanation:
A girl scout leader rented a bus for a trip to the museum.
Let x represent the number of miles
traveled over 350 miles.
Let y represent the total cost of travelling x miles
The bus company charged $275 plus $.35 for each mile traveled over 350 miles. This means that for x miles, the cost will be
y = 275 + 0.35x
If the bus trip cost $429, it means that y = 429
To determine the number of miles,we will substitute y = 429 into the equation. It becomes
429 = 275 + 0.35x
0.35x = 429 - 275 = 154
x = 154/0.35 = 440
x = 440 miles