Michael J. answered 04/11/16
Tutor
5
(5)
Effective High School STEM Tutor & CUNY Math Peer Leader
Since each orange is $0.27, then the total cost cannot exceed $5.00. So we need to find out how many times 0.27 can go into 5 without going over. We perform 5 divided by 0.27. Dividing decimals are tricky, so we are going to convert the decimal to a fraction. We know that 0.27 converted to a fraction is 27/100.
5 ÷ 0.27 =
5 ÷ (27/100)
When dividing by a fraction, we multiply by the reciprocal of the fraction.
5 × (100 / 27) = 500 / 27
500/27 is the equivalent to 5 ÷ 0.27.
Next, we divide 500 by 27 using long division.
18
_______
27 | 500
27
______
230
216
_____
14
As you can see, the quotient is 18 with a remainder of 14. This means that 0.27 goes into 5 only 18 times without going over.
So Alicia and her father can buy no more than 18 oranges.