Solve the following problem. See Example.
TRAVELING A tourism website claims travelers can see Europe for $95 a day. If a tourist saved $2,185 for a vacation, how many days can he spend in Europe?
Example
Tunneling A tunnel boring machine can drill through solid rock at a rate of 33 feet per day. How many days will it take the machine to tunnel through 7,920 feet of solid rock?
Analyze
· The tunneling machine drills through 33 feet of solid rock per day. | Given |
· The machine has to tunnel through 7,920 feet of solid rock. | Given |
· How many days will it take the machine to tunnel that far? | Find |
In the diagram below, we see that the daily tunneling separates a distance of 7,920 feet into equal-sized lengths of 33 feet. That indicates division.
Form We translate the words of the verbal model to numbers and symbols.
Calculate Use long division to find 7,920 ÷ 33.
State It will take the tunneling machine 240 days to drill 7,920 feet through solid rock.
Check We can check using multiplication.
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