Chelsea spent $221 on 11 daylilies and 16 pots of ivy. Darryl spent $110 on 8 daylilies and 6 pots of ivy.

Question

What is the cost of one daylily and the cost of one pot of ivy?

Answer 1

cost of daylilies = x

cost of pot of ivy=y

 

Chelsea spent $221 on 11 daylilies and 16 pots of ivy.

11x+16y=221

 

 

Darryl spent $110 on 8 daylilies and 6 pots of ivy.

8x+6y=110

 

solve thers 2 equation simulteniously

 

 

11x+16y=221   multiply this with 8 ----------------- 88x+128y = 1768 

 

8x+6y=110       multiply this with 11----------------88x+66y=1210

 

 

subtract 2nd eq from 1st

 

88x+128y=1768

88x+66y =1210

____________________

       62y= 558

          y=9

substitute value of y in eq 1

 

 

11x+16y=221

11x+16(9)=221

11x +144=221

11x=77

x=7

 

cost of daylilies = x=$7
cost of pot of ivy=y=$9