Answer:
512 student tickets were purchased.
Step-by-step explanation:
Represenation of the unknowns: Let s be the number of student tickets and a the number of adult tickets. Then s + a = 1294.
The dollar amounts are thus ($5/ticket)s + (8/ticket)a = $8816.
Goal: Find s; to do this, eliminate a.
Since s + a = 1294, a = 1294 - s
Then: 5s + 8(1294 - s) = 8816, or
5s - 8s + 8(1294) = 8816, or
-3s + 10352 = 8816
Isolating the 3s term, we get
-3s - 1536 = 0, or
3s = 1536, which yields s = 512
512 student tickets were purchased.
If you had absolutely no idea, then you'd have roughly two choices
of how to find it:
#1). Try numbers until you find the right one.
Pick a number.
Cube it.
If you get less than 729, go back and try a bigger number.
If you get more than 729, go back and try a smaller number.
Eventually you find the right one.
Try 1. 1³ = 1 . Too small.
Try 2. 2³ = 8 . Still too small.
Try 5. 5³ = 125 . Still too small.
Try 20. 20³ = 8,000. Ooops. Too big.
Try 10. 10³ = 1,000 Too big.
Try 8. 8³ = 512. Oooo. Too small, but maybe getting close.
Try 8.5. 8.5³ = 614.125 Still too small, but very close.
Try 9. 9³ = 729 . That's it ! yay !
#2). x³ = 729
Take the log of each side: log(x³) = log(729)
3 log(x) = log(729)
Divide each side by 3 : log (x) = (1/3) log(729)
Look up log(729) : log(x) = (1/3) (2.86272...)
= 0.95424...
Raise 10 to the power
of each side: 10^log(x) = 10⁰·⁹⁵⁴²⁴···
x = 8.99994...
(That's the way it is with logs.
They never come out even.)
Draw a rectangle, shade in 40%, that's roses, the other 60% are daisies.
2/5 of the garden is 8 roses, 1/5 of the garden is 4 flowers, 3/5 is 12 flowers, so if 2/5 is 8 roses, 3/5 is 12 daisies.
8+12=20
There are 20 flowers in total.
We have been given that there were 20 speckled hens in each group.
Now, we have been given that each group had half the number of red hens as speckled hens.
Therefore, in each group the number of red hens are
Now, each group had double the number of red hens as white hens.
Number of white hens in each group is
Hence, total number of hens is each group is 20+10+5 = 35
Now, he split them into five equal group.
Therefore, total number of hens the farmer bought is given by
