Question

Half of Isiah’s money is equal to ⅔ of Bob’s money. Isiah has $15 more than Bob. How much money do they have altogether?

Answer 1

The amount of money they have altogether is $105.

What is the system of equations that represent the question?

i - b = $15 equation 1

1/2i = 2/3b

3i = 4b

i = 4b/3 equation 2

Where:

i = amount of money Isiah has

b = amount of money Bob has

How much money does Bob have?

Substitute for the value of i in equation 1

4b/3 - b = $15

1/3b = $15

Multiply both sides of the equation by 3

b = $45

How much money does Isiah have?

Substitute for $45 in equation 1

i - $45 = $15

Add $45 to both sides of the equation

i = $45 + $15

i = $60

How much do they both have?

$60 + $45 = $105

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552