Question

SECTION III - Show all your working 37. 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

Daniel received $230.00, Eva received $415.00, and Francis received $405.00.

Explanation:

Let's assume that Daniel received x dollars.

Then, according to the problem, Eva received $185.00 more than Daniel, which means she received (x + 185) dollars.

Similarly, we know that Daniel received $175.00 less than Francis, which means Francis received (x + 175) dollars.

We also know that the total amount of money shared among the three children is $1050.00. Therefore, we can write the following equation:

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

Simplifying the equation:

3x + 360 = 1050

3x = 690

x = 230

Therefore, Daniel received $230.00, Eva received (x + 185) = $415.00, and Francis received (x + 175) = $405.00.

To check that these values are correct, we can verify that they add up to the total amount of money shared:

$230.00 + $415.00 + $405.00 = $1050.00

Therefore, Daniel received $230.00, Eva received $415.00, and Francis received $405.00.