Math Word Problem

Question

Lena, Juan, and Rafael have a total of $90

 in their wallets. Lena has $5

 less than Rafael. Juan has 3

 times what Rafael has. How much does each have?

Answer 1

Rafael has $19. Lena has $14 and Juan has $57.

I figured this out by setting it up algebraically.

(r)+(3r)+(r-5)=90

count how many Rs there are.

5r-5=90

add 5 to both sides to cancel out the subtraction.

5r=95

divide both sides by 5 to isolate the r

95/5=19 so r=19

Then you go through the initial equation and substitute 19 for r.

(19) + (3x19) + (19-5) = 90

3x19 = 57

19-5 = 14