Question #27662

1 Answer
smendyka
Feb 8, 2017

Both people's meals cost #$15#

Explanation:

First we need to determine the entire cost of the lunch. We can do this using the tip amount and the tip percent.

"Percent" or "%" means "out of 100" or "per 100", Therefore 20% can be written as #20/100#.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the cost of the meal we are looking for "m".

Putting this altogether we can write this equation and solve for #m# while keeping the equation balanced:

#6 = 20/100 xx m#

#color(red)(100)/color(blue)(20) xx 6 = color(red)(100)/color(blue)(20) xx 20/100 xx m#

#600/color(blue)(20) = cancel(color(red)(100))/cancel(color(blue)(20)) xx color(blue)(cancel(color(black)(20)))/color(red)(cancel(color(black)(100))) xx m#

#30 = m#

#m = 30#

Now that we know the total cost of the meal is #$30# we can subtract #$15# from this to cover the cost of the meal for the first person.

#$30 - $15 = $15#

Both people's meals cost #$15#

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