Since 12 is 8 x 1 1/2 she needs 1 1/2 time as much fruit.
1 1/2 x 10 = 15 strawberries and 1 1/2 x 4 = 6 oranges.
You could also solve this using proportions:

Cross multiply and get 8n= 120 divide by 8 and get 15 strawberries
Do the same for the oranges:

You can see that 4/8 = 1/2 so n/12 has to be 6 to be 1/2 (or solve it using cross products like I did above).
See the picture attached with letters to better understand the problem
in the right triangle ABD
applying the Pythagoras theorem
8²=AD²+(x+4)²-----> AD²=64-(x+4)²------> equation 1
in the right triangle ADC
applying the Pythagoras theorem
12²=AD²+(2x+1)²-----> AD²=144-(2x+1)²------> equation 2
equate equation 1 and equation 2
64-(x+4)²=144-(2x+1)²-------> 64-[x²+8x+16]=144-[4x²+4x+1]
64-x²-8x-16=144-4x²-4x-1
4x²-x²-8x+4x=144-1-64+16
3x²-4x=95
3x²-4x-95=0
using a graph tool----> to resolve the second order equation
see the attached figure N 2
the solution is
x=6.33
the answer isx=6.33 units
Answer: see below
<u>Step-by-step explanation:</u>
Any value x such that |x| < 1 will make the conjecture false
<em>In simpler words, let x be a fraction between 0 and 1.</em>
One example: Let x = 
Then x⁴ = 
= 
< 
so the conjecture is false.