Question

. There are 435 boxes which contain at least one of the three items: Choco
boxes that contain only Chocolates is 10 times the number of boxes that
that contain only Toffees is 20 times the number of boxes that contain o
Oboxes that contain only peanuts is one-fifth the number of boxes tha
Toffees. there are 210 boxHow many boxes contain only one kind of item?
(a) 256
(b) 260
(c) 320
I​

Answer 1

Step-by-step explanation:

Given There are 435 boxes which contain at least one of the three items: Choco boxes that contain only Chocolates is 10 times the number of boxes that  contain only Toffees is 20 times the number of boxes that contain  only chocolates and peanuts. The number Of boxes that contain only peanuts is one-fifth the number of boxes that contain only  Toffees. There are 210 boxes that contain toffees. How many boxes contain only one kind of item?

• Now this is a question about overlapping of three items. Now draw 3 circles.
• So total of chocolates, toffees and peanuts will be 435 and let the number of peanuts be p and chocolates will be 10 p. Now the area has only chocolates and peanuts and let this be q. So the number of boxes that contain toffees will be 20 q.
• The number of boxes that contain only peanuts will be 1/5 the number of toffees.
• So 1/5 of 20 q = 4q.  
• So p = 4q
• So the number of chocolates will be 10 (4q) = 40 q
• Also 210 boxes contain only toffees and whole circle of toffees is 210.
• So 210 + 40 q + q + 4q = 435
•      45 q = 225
•  Or q = 5
• Now we need to find only chocolates + only toffees + only peanuts
• So 40q + 20q + 4q = 64 q
•                               = 64 (5)
•                              = 320

Reference link will be

https://brainly.in/question/3447625