Favorite Things

Algebra Level 1

Mr. Jefferson asked each of his 7 students to bring in 6 of their favorite things (individual items). He kept each of these items in a cabinet so they could be shared with the rest of the class on the next day, but he realized that 2/3 of them were stolen when he got to school the next morning. Lather that day, a new student that came to the class brought his collection of 79 baseball cards. (Each card is considered an item). Mr. Jefferson decided that the class would share the items after recess, and he stayed in to set up. The new student brought 32 of the baseball cards out to recess. How many items did Mr. Jefferson have while the students were at recess? To make the question more clear, here is a timeline of events: 1. Each of 7 students bring in 6 of their favorite things 2. 2/3 of all of the items are stolen 3. A new student brings in a collection of 79 baseball cards (each baseball card counts as 1 item) 4. Teacher is setting up items at recess, and the new student brought 32 baseball cards out with him/her. 5. How many items does the teacher have while the kids are at recess?


The answer is 61.

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1 solution

On the first day, Mr Jefferson had 7 × 6 = 42 7 \times 6 = 42 items.

The next day, 2 3 × 42 = 28 \dfrac {2}{3} \times 42 = 28 items were lost. Therefore, there were 42 28 = 14 42-28=14 items remaining.

The new student brought in 79 79 baseball cards (items) and took out 32 32 during recess. The rest 79 32 = 47 79-32=47 items were with Mr Jefferson.

Therefore, Mr Jefferson had in all 14 + 47 = 61 14+47=\boxed{61} during recess.

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