Question: Walter’s Tea Shop has caffeinated tea and decaffeinated tea. During the lunchtime rush, the tea shop served 55 teas in all, 80% of which were caffeinated. How many caffeinated teas did the tea shop serve?
(1) 44 caffeinated teas
(2) 46 caffeinated teas
(3) 40 caffeinated teas
(4) 48 caffeinated teas
Solution:
Find 80% of 55.
The whole is 55.
The percent is 80%.
Let n represent the part.
Write a proportion to solve for n.
n/55 = 80/100
100 = 80*55
100n = 4400
100n ÷ 100 = 4400 ÷ 100
n = 44
The tea shop served 44 caffeinated teas.
You could also find the answer by writing and solving an equation:
part = percentage of whole
n = 80% · 55
n = 0.8 · 55
n = 44
The tea shop served 44 caffeinated teas.
Then the option is (1).
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