# Solutions

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**Lower Elementary:**

*Answer:*10 sheets of paper

*Solution:*Since 2 pages can go on each sheet of paper, that means that the first 18 sheets of paper can fit on half of 18 = 9 sheets of paper. The 19

^{th}page goes on a 10

^{th}sheet of paper. So, 10 pieces of paper are needed for the whole reading assignment.

**Upper Elementary:**

*Solution:*Answers vary, but the math assignments should take up 2 segments on the pie chart, writing should take 2½, reading should take 3½, history should take 1½, and science should take ½.

**Middle School:**

*Answer*

*:*Yes

*Solution:*Since there are 10 3-day periods in 30 days, Lisa can memorize the location of a country a total of 7 × 10 = 70 times. That means she has time to forget and relearn 70 – 54 = 16 of them. If she forgets 1 every 2 days, that means she forgets 30 ÷ 2 = 15 of them, and since 15 is less than 16, she will have time to re-memorize them all.

**Algebra and Up:***Answer:* 8 math questions*Solution:* We can set up and solve the following system of equations to solve this problem:

** M** = 0.8

**=**

*S*

EE

**+ 5**

*S***+**

*M***+**

*S***= 33**

*E*Next, we plug the values of ** M** and

**into the third equation because they’re both already in terms of**

*E***. Now we have an equation with one variable—**

*S***. We can solve it to find that**

*S***= 10, so**

*S***must be 8. Logan has answered 8 math questions.**

*M*