# Solutions

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**Lower Elementary:**

*Answer:*30 orchid plants

*Solution:*Since there are 3 rows of 5 pots, there are 5 + 5 + 5 = 15 pots. Since there are two orchid plants in each pot, there are 15 + 15 = 30 orchid plants in total. Laura and Harold replanted 30 orchid plants.

**Upper Elementary:**

*Answer:*432 blocks

*Solution:*A foot is 12 inches, so the box is 12 blocks wide × 12 blocks long × 12 blocks tall = 1,728 cube-shaped blocks in volume. If Christine takes three-quarters of the blocks out

__, that__means that there’ll be one-quarter of them left in the box. So, we divide: 1,728 ÷ 4 = 432. There are 432 blocks left in the box.

**Middle School:**

*Answer*

*:*Brooklyn ate

^{1}/

_{84}of the ice cream more than Noah.

*Solution:*To find the difference, we’ll need to find the least common denominator of the fractions. Since the LCM of 12 and 14 is 84, we need to convert the fractions to 84ths. Noah ate

^{5}/

_{12}=

^{35}/

_{84}of the ice cream, and Brooklyn ate

^{6}/

_{14}=

^{36}/

_{84}of the ice cream. Brooklyn therefore ate

^{36}/

_{84}–

^{35}/

_{84}=

^{1}/

_{84}of the ice cream more than Noah.

**Algebra and Up:**

*Answer:*40°

*Solution:*Since

**is a line, 6**

*AG***= 180°. So,**

*z***= 180° ÷ 6 = 30°**

*z*__.__We also know that

**+**

*x***+ 2**

*y***= 180°, or**

*z***+**

*x***+ 60 = 180°, or**

*y***+**

*x***= 120°. If**

*y***= 2**

*x***, then we can conclude that 3**

*y***= 120°. So,**

*y***must be 120° ÷ 3 = 40°.**

*y*