Peter jogs 3 miles in 27 minutes. Find the unit rate in minutes per mile.
2 answers:
Answer: 1 mile per 9 minutes or 9 minutes per mile
Step-by-step explanation: "Per mile" means in 1 mile so we can rewrite the given statement using fractions.
To find out what goes in the blank, notice that we have a 1 in the denominator of our second fraction so we want to find a fraction that is equivalent to 27/3 that has a 1 in the denominator.
If we divide the numerator and denominator of 27/3 by 3, we get the equivalent fraction 9/1 or 9 minutes over 1 mile.
So now we have 9 minutes over 1 mile = ___ minutes over 1 mile.
So a 9 must go in the blank.
Therefore, the unit rate for 3 miles in 27 minutes is 1 mile per 9 minutes or 9 miles in 1 minute.
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Answer: $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.
Step-by-step explanation:
1. Let's call the amount he got paid per hour at his job as a cashier: .
Let's call the amount he got paid per hour at his job delivering newspapers: .
2. Keeping on mind the information given in the problem above, you can make the following system of equations:
3. You can solve it by applying the Substitution method, as following:
- Solve for one of the variables from one of the equations and substitute it into the other equation to solve for the other variable and calculate its value.
- Substitute the value obtained into one of the original equations to solve for the other variable and calculate its value.
4. Therefore, you have:
Then:
Finally:
Therefore he got paid $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.