Divide $15.20 among three people so that the second will have one dollar more than the first, and the third will have $2.70 more than the second?

Answer 1

x + (x+1) + (x +3.70) = 15.20

3x + 4.70=15.20

3x = 10.50

x = 3.5

PLUG X back in to find each one:

1. 3.50
2. 4.50
3. 7.20

Answer 2

Let f = money given to the first person, s = money given to the second person, and t = money given to the third person; then:

s = f + 1

t = s + 2.70

Then, use substitution to put both in terms of f:

t = s + 2.70 = (f + 1) + 2.70 = f + 3.70

Write an equation showing that all three should have a total of $15.20, and substitute s and t for the expressions in terms of f:

f + s + t = 15.20

⇒ f + f + 1 + f + 3.70 = 3f + 4.70 = 15.20

⇒ 3f = 10.50

⇒ f = 3.50

So, the first person has $3.50. The second person has a dollar more, which is $4.50. The third person has $2.70 more than the second, which is $7.20. To sum up:

f = $3.50

s = $4.50

t = $7.20

Answer 3

f

f + 1

f + 1 + 2.7

3f + 4.7 = 15.2

3f = 10.5

f = 3.5

$3.50, $4.50 and $7.20