Answer:
equation which represent this situation is 30 - 13x/6 =4
Solution to this equation is x = 12
As we see that there is one equation and degree of x is one thus there is one solution.
Step-by-step explanation:
Total no. of chocolates with Jonathan = 30
no. of chocolates given to David IS x
Given
He then gives Sarah half the number of chocolates that he gave David
no. of chocolates given to Sarah = 1/2 of no. of chocolates given to David
no. of chocolates given to Sarah = 1/2 of x = x/2
Again given
gives Lily two-thirds of what he gave David. After giving away the chocolates
no. of chocolates given to Lily = 2/3 of no. of chocolates given to David
no. of chocolates given to Lily = 2/3 of x = 2x/3
Total no. of chocolates given to David , Sarah and lily = x+x/2+2x/3
LCM of 2 and 3 is 6
Total no. of chocolates given to David , Sarah and lily =( 6x + 3x+ 4x)/6
Total no. of chocolates given to David , Sarah and lily =13x/6
Now, additional information in the problem is
After giving away the chocolates, Jonathan has 4 chocolates left
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 =12
Thus, equation which represent this situation is 30 - 13x/6 =4
Solution to this equation is x = 12
As we see that there is one equation and degree of x is one thus there is one solution.
