Answer:
36
Step-by-step explanation:
Carson had x number of apples to start with.
He gave 1/3 to Nathan. Now Carson has (2/3)x apples left.
He gave 1/2 of what was left to Nikki. Now Carson has (1/2)(2/3)x = (2/6)x = (1/3)x apples.
On the way home, he dropped 1/4, so he has 3/4 of the last amount he had, and the number is 9.
(3/4) * (1/3)x = 9
3/12 x = 9
1/4 x = 9
x = 36
Answer: He picked 36 apples.
Check:
Start with 36 apples.
Give 1/3 to Nathan. Now Carson has 24 apples.
Give 1/2 to Nikki. Now Carson has 12 apples.
Drop 1/4. 1/4 of 12 is 3. 12 - 3 = 9.
Hew only had 9 apples left, so 36 is correct.
<span>We can solve this equation by completing square
and using formula a² -2ab+b² = (a-b)²
x²-3x=-5/4
x² -2*3/2x +(3/2)² = -5/4 +(3/2)²
(x-3/2)²= -5/4 +9/4
</span>(x-3/2)²= 1
√(x-3/2)²= +/-√1
x-3/2 = 1, or x-3/2 = - 1
x=1+3/2=5/2=2.5 or x=-1+3/2= 1/2=0.5
So we got 2 answers
x=2.5 and x= 0.5.
The answer is 47 lol trust
Answer:
Step-by-step explanation: