Question

Three friends pay 1025 to rent a vacation home. Beth contributed $80 more than danny. Katie contributed $20 less than Beth. How much did Danny contribute?

Answer 1

Answer:

Danny contributed $295

Step-by-step explanation:

Assume that Danny contributed $x

∵ Danny contributed x

∵ Beth contributed $80 more than Danny

→ Add The amount of Danny by $80 to get the amount od Beth

∴ Beth contributed x + 80

∵ Katie contributed $20 less than Beth

→ Subtract the amount of Beth by 20 to get the amount of Katie

∴ Katie contributed x + 80 - 20

∴ Katie contributed x + 60

∵ The three friends pay $1025

→ Add their amounts and equate the sum by 1025

∴ x + x + 80 + x + 60 = 1025

→ Add the like terms in the left side

∵ (x + x + x) + (80 + 60) = 1025

∴ 3x + 140 = 1025

→ Subtract 140 from both sides

∴ 3x + 140 - 140 = 1025 - 140

∴ 3x = 885

→ Divide both sides by 3

∴ x = 295

∵ x represents the amount of Danny contributed

∴ Danny contributed $295