Question

Laura, Milan, and Ravi have a total of 93$ in thier website. Ravi has 9$ less than Laura. Milan has 2 times what ravi has. How much do they each have in their wallets

Answer 1

Answer:

$L = 30\\R = 21\\M = 42$

Step-by-step explanation:

Let's assign each person a variable using the first letter of his/her name.

Then we get the following equations based on the information given:

$L + M + R = 93\\L - 9 = R\\M = 2R$

Then we can use substitution:

$L + M + R = 93\\L + (2R) + R = 93\\L + 3R = 93$

Rearrange the second equation:

$L - R = 9$

Multiple the equation by 3:

$3L - 3R = 27$

Combine the equations to solve for a single variable (L):

$L + 3L = 4L\\3R - 3R = 0\\93 + 27 = 120$

Then we have a new equation:

$4L = 120\\L = 30$

Use substitution to get the rest:

$L - 9 = R\\(30) - 9 = R\\R = 21\\\\M = 2R\\M = 2(21)\\M = 42$