more expensive land costs $22,012 more than the less expensive land, the two together cost $159,488. How much did each piece​ cost?

Question

A fast-food chain bought two pieces of land for new stores. The more expensive piece of land costs $22,012 more than the less expensive piece of land, and the two pieces together cost $159,488. How much did each piece cost?

Answer 1

SHi Tatiana,

Allow the following to help put an equation together:

x                          <-----------------------------Less expensive land
x + 22012             <-----------------------------More expensive land

Together the two add up to 159,488 


Therefore: 


x + x + 22,012 = 159,488

Subtract both sides of equation by 22,012 which leaves 2 x on left side: Therefore:

2x = 137,4766
x = 68, 738 

Proof our work: 

Since x = 68,738 and,
x + 22,012 = 
68,738 + 22012 = 90,750 

68,738 (least expensive land) + 90,750 (more expensive land) = $159,488

Hope this helps and have a great day today.