SOLUTION: Amber planned a party. Each child was asked to bring a cupcake, juice and a present to the party. They were to bring one of each type of item. Each child brought at least one item

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Amber planned a party. Each child was asked to bring a cupcake, juice and a present to the party. They were to bring one of each type of item. Each child brought at least one item      Log On


   

Question 1006030: Amber planned a party. Each child was asked to bring a cupcake, juice and a present to the party. They were to bring one of each type of item.
Each child brought at least one item.
16 children brought all three items.
5 children brought the cupcake and the present only.
1 child brought the cupcake only
1 child brought juice only
3 children brought the cupcake and the juice only.
There were 25 cupcakes, 21 juices and 26 presents to share altogether.
How many children were at the party?
Please show the work. Thanks!
Answer by MathTherapy(10552) About Me  (Show Source):
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Amber planned a party. Each child was asked to bring a cupcake, juice and a present to the party. They were to bring one of each type of item.
Each child brought at least one item.
16 children brought all three items.
5 children brought the cupcake and the present only.
1 child brought the cupcake only
1 child brought juice only
3 children brought the cupcake and the juice only.
There were 25 cupcakes, 21 juices and 26 presents to share altogether.
How many children were at the party?
Please show the work. Thanks!
Apply same concept used to answer Problem # 1006027: Venn diagrams, analyses, etc.