Answer:
216 cookies
Step-by-step explanation:
From the question,
Let the total cookies in the first place be x cookies.
Their ratio = 5:12:9
Total = 5+12+9 = 26.
Weiming share = (5/26)x = 5x/26
If weiming sold 28 cookies
⇒ (5x/26)-28
⇒ (5x-728)/28
Hence Weiming new share = (5x-728)/28 cookies
The new ratio is 1:8:6
The total cookies becomes = x-28
Therefore,
(1/15)(x-28) = (5x-728)/28
(x-28)/15 = (5x-728)/28
Crossmultiply
28(x-28) = 15(5x-728)
28x-784 = 75x-10920
Collect like terms
28x-75x = -10920+784
-47x = -10136
x = -10136/-47
x = 215.7
x ≈ 216 cookies
Answer: the farmer has 19 cows.
Step-by-step explanation:
Let x represent the number of cows that the farmer has.
Let y represent the number of chicken that the farmer has.
The farmer has a total of 40 animals. It means that
x + y = 40
A cow has 4 legs. A chicken has 2 legs. One day he counts the legs of all his animals and realizes he has a total of 118 legs. It means that
4x + 2y = 118- - - - - - - - 1
Substituting x = 40 - y into equation 1, it becomes
4(40 - y) + 2y = 118
160 - 4y + 2y = 118
- 4y + 2y = 118 - 160
- 2y = - 42
y = - 42/ - 2
y = 21
x = 40 - y = 40 - 21
x = 19
Answer:420
Step-by-step explanation:
