A game of skill at a fair awards a certain number of tokens for each point scored. The tokens can be used to buy things at the fair. Aniyah scores 16 points and Kristina scores 24 points. Together, they win 280 tokens. How many tokens did each girl win?

step-by-step explanation:

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:

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step-by-step explanation: