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?

they would have 105 together

Step-by-step explanation:

I/2 of Isiah's money = 2/3 of Bob's money

Bob is B isiah is I

I=15+B

(15+B)/2 = 2B/3

multiply both sides by 6

45 + 3B = 4B

B = $45

I=$60

Together they have 45+60 = $105

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: