The equation which represent this situation is 30 - 13x/6 =4. The Solution to this equation is x = 12 So, the answer is D, x+ 1/2x+2/3x+4= 30 which has one solution.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The Total no. of chocolates with Jonathan = 30
The no. of chocolates given to David Is x.
Given;
He then gives Sarah half the number of chocolates that he gave David
The no. of chocolates given to Sarah = 1/2 of no. of chocolates given to David
The no. of chocolates given to Sarah = 1/2 of x = x/2
Now, Lily two-thirds of what he gave David. After giving away the chocolates
The no. of chocolates given to Lily = 2/3 of no. of chocolates given to David.
The no. of chocolates given to Lily = 2/3 of x = 2x/3
Now, the Total no. of chocolates given to David , Sarah and lily
= x+x/2+2x/3
LCM of 2 and 3 is 6
The Total no. of chocolates given to David , Sarah and lily
=( 6x + 3x+ 4x)/6
The Total no. of chocolates given to David , Sarah and lily =13x/6
After giving away the chocolates, Jonathan has 4 chocolates left
The Chocolate left with Jonathan = Total no. of chocolates with Jonathan - Total no. of chocolates given to David , Sarah and lily
4 = 30 - 13x/6
4 + 13x/6 = 30
13x/6 = 30-4 = 26
x = 26*6/13 = 2*6
x =12
Hence, the equation which represent this situation is 30 - 13x/6 =4
The Solution to this equation is x = 12
So, the answer is D, x+ 1/2x+2/3x+4= 30 which has one solution.
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