Answer :
Boy A gets $34, boy B gets $17 and boy C gets $51 and this can be determined by forming the linear equation and by using the arithmetic operations.
Given :
- Total Amount = $102
- Total number of boys = 3
- A gets twice as much as B and C gets 1.5 times as much as A.
It is given that A gets twice as much as B, that is:
A = 2B
[tex]\rm 0.5 A = B[/tex] ----- (1)
It is also given that C gets 1.5 times as much as A, that is:
[tex]\rm C = 1.5 A[/tex] ------ (2)
Given that the total amount is $102, that is:
A + B + C = 102 --- (3)
Now, put the value of B and C in equation (3).
[tex]\rm A+0.5A+1.5A = 102[/tex]
3A = 102
A = $34
Now, put the value of A in equations (1) and (2).
[tex]\rm B = 0.5\times 34[/tex]
B = $17
[tex]\rm C = 1.5\times 34[/tex]
C = $51
Boy A gets $34, boy B gets $17 and boy C gets $51.
For more information, refer to the link given below:
https://brainly.com/question/17921485
