Whats the largest number that divides evenly into both numbers? 4
Answer: the length of the first piece is 6 , the second is 24 and the third is 30 units
Step-by-step explanation:
let the first piece be x then the second would be 4x and third 5x
x+4x+5x=60
10x=60
x=60/10=6
4x= 6*4=24
5x=6*5=30
4a.
We can get the least number by taking LCM of 24 and 16.
We list each of the numbers as prime factors and take the mutiplication of each unique prime factor that occurs the greatest number of times.
24 = 2 * 2 * 2 * 3
16 = 2 * 2 * 2 * 2
So,
2 occurs four times
3 occurs 1 times
LCM of 24 and 16 is:
2 * 2 * 2 * 2 * 3 = 48
Least number of cheese and cracker appetizer = 48
4b.
Sleeves are sold in 24.
So, to get 48, she would need to buy:
48/24 = 2 sleeves
4c.
Cheese slices comes in packages of 16. So she needs to buy:
48/16 = 3 packages of cheese
Answer:
112, 119 and 126.
Step-by-step explanation:
Let the consecutive multiples of 7 be 7n, 7(n+1) and 7(n+2) where n is an integer, then:-
7n + 7n + 7 + 7n + 14 = 357
21n + 21 = 357
21(n + 1) = 357
n = (357/21) - 1
n = 17 + 1 = 16.
So the numbers are 7*16 = 112, 7*17 = 119 and 7*18 = 126.
