David W. answered 08/08/15
Tutor
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(90)
Experienced Prof
Let X be the total amount of all Julia's customer's meal checks.
[note: if possible, assign a variable to the amount we want to find]
For Julia to "take home at least $200 tips," the total of all her customers' meal checks must be:
(16%)X ≥ $200
(16/100)X ≥ $200 (write percent as fraction if you want)
X ≥ $200*(100/16) (multiply both sides by 100/16)
X ≥ $1,250 [note: for inequalities to not reverse as we multiply, X must be greater than 0]
For Julia to "take home at least $200 tips," the total of all her customers' meal checks must be:
(16%)X ≥ $200
(16/100)X ≥ $200 (write percent as fraction if you want)
X ≥ $200*(100/16) (multiply both sides by 100/16)
X ≥ $1,250 [note: for inequalities to not reverse as we multiply, X must be greater than 0]
Extra note: Because 16% is an "average," that means that the total of Julia's tips divided by the total of her customers' checks is 16%.