SOLUTION: Sarah Saved 2 Dollars for every 5 dollars her brother saves. If Sarah saved 20 dollars how much does her brother have. 2 / 5 = 40 / x. X=100

Algebra ->  Equations -> SOLUTION: Sarah Saved 2 Dollars for every 5 dollars her brother saves. If Sarah saved 20 dollars how much does her brother have. 2 / 5 = 40 / x. X=100      Log On


   

Question 991130: Sarah Saved 2 Dollars for every 5 dollars her brother saves. If Sarah saved 20 dollars how much does her brother have.
2 / 5 = 40 / x. X=100
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
sarah saves 2 dollars for every 5 dollars her brother saves.

sarah saved 20 dollars.

20 / 2 * 5 = 50 dollars.

her brother saved 50 dollars.

look at it another way.

if she saves 2 dollars, her brother saves 5.

20 dollars is 10 * 2.

she saved 10 * 2 = 20 dollars.

her brother must have saved 10 * 5 = 50 dollars.

look at it another way.

brother saves 5 dollars for every 2 dollars that she saves.

that means her brother saves 2.5 dollars for every 1 dollar that she saves because 5/2 = 2.5 and 2/2 = 1.

she saved 20 dollars.

he must have saved 2.5 * 20 = 50.

in ratio form the equation would be:

5/2 = x / 20

x represent how much her brother saved.

cross multiply to get 100 = 2*x.

solve for x to get x = 50