Question

Mr.Morrie shared $1050 among his three children Daniel, Eva and Francis.Eva received $185.00 more than Daniel who received $175.00 less than Francis.How much money did each child receive?​

Answer 1

Explanation:

Let x be the amount of money that Daniel received.

Let y be the amount of money that Eva received.

Let z be the amount of money that Francis received.

y = x + 185 (Eva received $185.00 more than Daniel)

x = z - 175 (Daniel received $175.00 less than Francis)

x + y + z = 1050

We can substitute the first two equations into the third equation to get:

(z - 175) + (x + 185) + z = 1050

2z + x + y = 1040

2z + 2x + 185 = 1040

2z + 2x = 855

z + x = 427.5

z + z - 175 = 427.5

2z = 602.5

z = 301.25

Now we can use the equation x = z - 175 to find x:

x = 301.25 - 175

x = 126.25

Finally, we can use the equation y = x + 185 to find y:

y = 126.25 + 185

y = 311.25

Therefore, Daniel received $126.25, Eva received $311.25, and Francis received $301.25.