Kim and Danielle each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Kim spent $62 on 5 hostas and 4 pots of ivy. Danielle spent $144 on 8 hostas and 12 pots of ivy. What is the cost of one hosta?
We have this system
5H + 4I = 62
8H + 12I = 144 where H is the cost for one hosta and I is the price of an ivy pot
Multiply the top equation through by -3 and we get that
-15H -12 I = -186 and write the second equation
8H + 12 I = 144
Add the equations and we get that
-7H = -42 divide both sides by -7
H =6 (dollars) = cost for one hosta...