Sean has some candy bars that he wants to give away. He is going to give each person 1/8th of a bar, and he has 2 3/4 bars to give away.How many people will get candy?
Answers
Answer:
The answer is 40.
Step-by-step explanation:
Let four numbers be (a - 3d), (a - d), (a + d), (a + 3d)
According to question.
a - 3d + a - d + a + d + a + 3d = 40
4a = 40
a = 40/4
a = 10 ------ (eq 1)
The ratio of the product of first and fourth term is 2:3
Cross-multiply them..
3(a - 3d) = 2(a + 3d)
3a - 9d = 2a + 6d
3(10) - 9d = 2(10) + 6d [From (eq 1)]
30 - 9d = 20 + 6d
30 - 20 = 6d + 9d
10 = 15d
d = 10/15
d = 2/3 ------- (eq 2)
Now we have to find the numbers.
a - 3d = 10 - 3(2/3)
10 - 2 = 8
a - d = 10 - 2/3
(30 - 2)/3 = 28/3
a + d = 10 + 2/3
(30 + 2)/3 = 32/3
a + 3d = 10 + 3(2/3)
10 + 2 = 12
From above calculations we get numbers 8, 28/3, 32/3 and 12
Add all these numbers.
= 8 + 28/3 + 32/3 + 12
= (24 + 28 + 32 + 28)3
= 120/3
= 40
22 people will get candy , if each person 1/8th of a bar and 2 3/4 bars to give away
Step-by-step explanation:
Sean has 2 3/4 bars to give away
= 11/4 Bar
Sean is going to give each person 1/8th of a bar
Number of people who will get candy = Total candy Bar / Candy bar given to one Person
= (11/4) /(1 /8)
= 11 * 8 / 4
= 11 * 3
= 22
22 people will get candy
Learn More :
Rs 250 were equally divided among a certain number of children
https://brainly.in/question/8117626
Noor brought 21 sheets of stickers. She gave
https://brainly.in/question/12233934