# Solutions

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**Lower Elementary:**

*Answer: *200 paper triangles

*Solution*: If Avery cuts the paper into 1-inch strips, she will have 10 strips of paper. If she cuts each strip into 1-inch squares, she will have 10 for each strip. That means that she will have 10 × 10 = 100 squares. If she then cuts each square in half to make 2 triangles, she will have 100 × 2 = 200 paper triangles.

**Upper Elementary:**

*Answer:* 4 students

*Solution: *One third of 24 is 24 ÷ 3 = 8 students, so there are 8 students in the percussion group. Half of 24 is 12, so there are 12 students in the choir group. That leaves 24 – 8 – 12 = 4 students in the guitar group.

**Middle School:**

*Answer**:* $70.29

*Solution:* Before tax, the gym uniform costs $12.50 + $20.00 + 31.40 = $63.90. To find the cost after tax, we multiply by 1.1; 1 for the price of the items, and an additional 0.1 for the tax. After tax, the uniform costs $63.90 × 1.1 = $70.29.

**Algebra and Up:**

*Answer:* 60 students

*Solution:* We can solve this problem with a system of equations in which ** x **represents the number of students in sculpture class and

**represents the number of students in drawing class.**

*y*** x** = 1.25

**=**

*y*

xx

**+ 15**

*y*We can solve this by reasoning that since ** x** =

**, that means that 1.25**

*x***=**

*y***+ 15. If we solve for**

*y***, we find that**

*y***= 60. There are 60 students in drawing class.**

*y*