Question
A company decided to make some gifts containing three different items (A, B and C). In addition to there not being equal quantities of each item, the packages were made by different people who did not pay attention to the instructions given. In the end, it is known that 49 packages contained only item A, 19 contained only item B and 13 contained only item C. And although 22 packages contained items A and B, 24 contained items A and C and 64 contained items B and C. Only 9 packages contained all three items. What was the initial quantity of each item?
265
likes1325 views
Answer to a math question A company decided to make some gifts containing three different items (A, B and C). In addition to there not being equal quantities of each item, the packages were made by different people who did not pay attention to the instructions given. In the end, it is known that 49 packages contained only item A, 19 contained only item B and 13 contained only item C. And although 22 packages contained items A and B, 24 contained items A and C and 64 contained items B and C. Only 9 packages contained all three items. What was the initial quantity of each item?
Maude
4.7108 Answers
Solução:
Item A = (somente item A) + (item A e C) + (item A e B) + (todos os três itens)
Item A = 49 + 22 + 24 + 9 = 104
Item B = (Item B apenas) + (Item B e C) + (Item A e B) + (Todos os três itens)
Item B = 19 + 64 + 22 + 9 = 114
Item C = (Item C apenas) + (Item A e C) + (Item B e C) + (Todos os três itens)
Item C = 13 + 24 + 64 + 9 = 110
Frequently asked questions (FAQs)
Find the exact value of cot(5π/4).
+
What is the maximum value the tangent function can reach on its domain?
+
What is the value of f(e^2) for f(x) = log x and f(x) = ln x?
+
New questions in Mathematics