Answer:
- 31 pencils
- 38 erasers
- 44 sharpeners
Step-by-step explanation:
The number of packets is the greatest common divisor of the given numbers of pencils, erasers, and sharpeners.
It can be helpful to look at the differences between these numbers:
748 -646 = 102
646 -527 = 119
The difference of these differences is 17, suggesting that will be the number of packets possible.
527 = 17 × 31
646 = 17 × 38
748 = 17 × 44
The numbers 31, 38, and 44 are relatively prime (31 is actually prime), so there can be no greater number of packets than 17.
There will be 31 pencils, 38 erasers, and 44 sharpeners in each of the 17 packets.
_____
We may have worked the wrong problem. The way it is worded, the <em>maximum</em> number of items in each packet will be 527 pencils, 646 erasers, and 748 sharpeners in one (1) packet. The <em>minimum</em> number of items in each packet will be the number that corresponds to the maximum number of packets. Since 17 is the maximum number of packets, each packet's contents are as described above.
17 is the only common factor of the given numbers, so will be the number of groups (plural) into which the items can be arranged.
Answer:
20 percent
Step-by-step explanation:
100(%) (all 5 balls) ÷ 5 = 20(%)
Answer:
0.11
Step-by-step explanation:
You would convert the percentage to a fraction. Since the % symbol means 'out of 100', you would put 11 over 100: 11/100.
Then you would convert the fraction to a decimal: 0.11.
An easier way could also be to take the percentage and move it two decimal places to the right.
Ex: 43% moved two decimal places to the right would be 0.43.
I hope this helps!
Answer:
612 adults
361 students
Step-by-step explanation:
To solve this question, set two equations:
Let x be number of adults and y be number of students.
As there are in total 937 people, the equation would be the sum of both adults and children:
...... ( 1 )
As the total sale amount is $1109, the equation would be to add up the ticket fee:
...... ( 2 )
Put ( 1 ) into ( 2 ):
Put y into ( 1 ):
Therefore there are 612 adults and 361 students.
35-4x>2
-4x>2-35
-4x>-33
-x>-33/4
x<33/4 (x<8.25)
Solution: x<8.25. or x∈(-∞ , 8.25)
