Answer:=-36
Step-by-step explanation:
x ,y are the numbers
x = 5y-3
x+y = 27
substitute first equation into the second
(5y-3) +y =27
combine like terms
6y-3=27
add 3 to each side
6y=30
divide by 6
y=5
x = 5y-3
x=5*5-3
x=22
the two numbers are 22 and 5
Answer:
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Each hiker will receive 6 ounces each.
Using the least common factor, it is found that:
- a) 60 packages should be bought.
- b) There will be 5 filled goody bags.
<h3>
Least Common Factor:</h3>
- The sizes of the packages are: 10, 6, 15 and 12.
- To fill each bag and have no left-overs, the number of packages is the <u>least common factor</u> of these amounts.
- The least common factor is found factoring the numbers into prime factors.
Item a:
10 - 6 - 15 - 12|2
5 - 3 - 15 - 6|2
5 - 3 - 15 - 3|3
5 - 1 - 5 - 1|5
1 - 1 - 1 - 1
Hence, lcf(10,6,15,2) = 2 x 2 x 3 x 5 = 60.
60 packages should be bought.
Item b:
Goody bags are in packages of 12, hence:
60/12 = 5.
There will be 5 filled goody bags.
To learn more about the least common factor, you can take a look at brainly.com/question/24873870
