Question

Martez, Jadah and Roana are collecting donations for Riley Children's Hospital. Together they collected a total of $73. Martez collected five more dollars than Jadah. Roana collected seven less than three times as much money as Jadah. write a variable to represent the situation

Answer 1

Answer:

The variable expression equation of the situation is;

x + 5 + x + 3·x - 7 = $73

The amount of money Jadah collects = $15

The amount of money Martez collects = $20

The amount of money Roana collects = $38

Step-by-step explanation:

The given parameters are;

The total amount of money they collect together = $73

The amount of money Martez collects = 5 + The amount of money Jadah collects

The amount of money Roana collects = 3 × The amount of money Jadah collects - 7

Let x represent the amount of money Jadah collects

Therefore, we have;

The amount of money Martez collects = 5 + x

The amount of money Roana collects = 3 × x - 7

The variable expression equation of the situation is given as follows;

The total amount of money the three collected = x + 5 + x + 3 × x - 7 = $73

∴ 5 × x - 2 = $73

5 × x - 2 = 73

5 × x  = 73 + 2 = 75

x = 75/5 = 15

x = 15

The amount of money Jadah collects = x = $15

The amount of money Martez collects = 5 + x = 5 + 15 = 20

The amount of money Martez collects = $20

The amount of money Roana collects = 3 × x - 7 = 3 × 15 - 7 = 38

The amount of money Roana collects = $38