Answer:
4
Step-by-step explanation:
Given that At the pet owner’s meeting, there are 20 people who own dog, and 35people who own cat and 9 people own goldfish. Some people own both catand dog and some people own both gold fish and cat. No dog owners owngoldfish. There are twice as many people who own both goldfish and catthan people who own both dog and cat.
Total no of people =52
The venn diagram attached gives a clear picture
assuming x to be owners of both dog and cat. Then 2x is for both goldfish and cats.
Totalling all mutually exclusive we get
64-3x=52
x=4
No of owners who own both cat and dog =4
g/2 + 4
last option is the answer
Answer:
<h2> 52 chickens</h2>
Step-by-step explanation:
Step one:'
given
we are told that the total number of animals is 169
the ratio of horses to chickens= 9:4
total ratio= 13
Required:
number of chickens
Applying part to all principle, let the number of chickens be x
4/13=x/169
cross multiply
4*169=13*x
divide both sides by 13
x=4*169/13
x=676/13
x=52
There are 52 chickens
13 x 85 = 1105
78 + 91 = 169
169 / 1105 = 6.5
Answer: <u>4 pounds</u> of brand X sugar
====================================================
Reason:
n = number of pounds of brand X sugar
5n = cost of buying those n pounds, at $5 per pound
Brand Y costs $2 per pound, and you buy 8 lbs of it, so that's another 2*8 = 16 dollars.
5n+16 = total cost of brand X and brand Y combined
n+8 = total amount of sugar bought, in pounds
3(n+8) = total cost because we buy n+8 pounds at $3 per pound
The 5n+16 and 3(n+8) represent the same total cost.
Set them equal to each other. Solve for n.
5n+16 = 3(n+8)
5n+16 = 3n+24
5n-3n = 24-16
2n = 8
n = 8/2
n = 4 pounds of brand X sugar are needed
-------------
Check:
n = 4
5n = 5*4 = 20 dollars spent on brand X alone
16 dollars spent on brand Y mentioned earlier
20+16 = 36 dollars spent total
n+8 = 4+8 = 12 pounds of both types of sugar brands combined
3*12 = 36 dollars spent on both types of sugar brands
The answer is confirmed.
--------------
Another way to verify:
5n+16 = 3(n+8)
5*4+16 = 3(4+8)
20+16 = 3(12)
36 = 36
