Question

Four friends participated in an archery contest. Eric scored 7 more points than Lucy. Adamscored twice as many points as Eric. Nick scored 9 less than Adam. How many points dideach friend score if the total was 56.Lucy scoredpoints=Eric scoredpoints=Adam scoredpoints=Nick scoredpoints=

Answer 1

Eric= 7 +Lucy e=7+l

Adam= 2Eric a=2e

Nick = Adam-9 n=a-9

Eric+Lucy+Adam+Nick =56

we will put this in terms of l

(7+l)+l+2(7+l)+(2(7+l)-9)=56

7+2l+14+2l+14+2l-9=56

6l+26=56

6l=56-26

6l=30

l=30/6

l= 5

Lucy scored 5

Eric 7+5= 12

Adam = 2(12) =24

Nick=24-9 =15