Math Challenge 13
Solutions
Use the following information to answer problems 1 to 10.
It’s Dominick’s birthday party. He helped his mom to prepare for his party. He wanted to serve
lemonade & punch in 6 pitchers: three pitchers of lemonade and three pitchers of punch.
1.
2.
Dominick needed 6 pitchers to serve drinks at his party but he had only 4 pitchers. How
many more pitchers did he need?
Answer: 2
He finally found all 6 pitchers (red, blue, flower, polka dot, striped, and pink) he
needed for the party. He put punch in the flower pitcher, striped pitcher, and pink
pitcher. Each pitcher only had one type of drink in it. Which three pitchers did he use
Answer: Red, blue, and
polka dot pitchers
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for the lemonade?
Pink
Red
Blue
3.
4.
5.
6.
Flower
Polka dot
Striped
Before the party began, Dominick prepared the lemonade and punch in six pitchers. To
keep the drinks cool, he put 8 ice cubes in each pitcher just before the guests arrived. How
many total ice cubes did he use?
Eight cubes in each pitcher: 8 x 6 or 8 + 8 + 8 + 8 + 8 + 8 = 48 ice cubes.
Answer: 48 [ice cubes]
Each ice cube tray holds 12 ice cubes. How many trays does Dominick need?
48 ÷ 12 = 4 trays
Answer: 4 [trays]
He used 2 packets of lemonade mix for each pitcher of lemonade and 3 packets of punch
mix for each pitcher of punch. How many total packets of mix did he use?
(2+2+2) + (3+3+3) = 15 packets
Answer: 15 [packets]
Each pitcher can hold 64 ounces of liquid. How much liquid (in ounces) can 6 pitchers hold?
Since there are 6 pitchers, there will be 6 x 64 = 384 ounces
Answer: 384 [oz.]
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7.
8.
Dominick also prepared 8 oz. cups. He had 28 guests, mom and dad, and his sister at the
party. How many cups did he need if he also needed one for himself?
28 + 2 + 1 + himself = 32
Answer: 32 [cups]
If the cups he wanted to purchase are sold by the dozen, how many dozen cups did he have
to buy?
He needs to buy 3 dozens or 36 cups.
Answer: 3 [dozens]
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After the Party
The pitchers below show how much lemonade and punch was left over after the party.
9.
If Dominick’s mom wanted to put all these leftovers into just two pitchers (she doesn’t care
about mixing up lemonade and punch), will they fit?
𝟏
1
1
𝟏
1
1
+ + + + + <2
𝟐
3
6
𝟐
8
4
8
4
3
6
𝟏+
+
+
+
<2
24 24 24 24
21
𝟏
<2
24
Answer: yes
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2015-2016 Math Challenge
10. Before the cleanup, Dominick looked at what’s left. He wanted to put each type of drink
Answer:
away into one pitcher. Use the picture and following clues to find out what’s left.
 Three pitchers had lemonade and three pitchers had punch.
 Two pitchers had the same amount of liquid. One pitcher contained lemonade; the
other contained punch.
 The pitcher that had the least amount of liquid contained lemonade.
 One pitcher of punch was ⅓ full. That pitcher was twice as full as another pitcher
of punch.
Polka-dot pitcher
𝟕
(lemonade): 𝟖 full
Stripe pitcher (punch):
full
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As he cleaned
up, Dominick poured all the leftover lemonade into a polka-dot
pitcher. He poured all the leftover punch into a striped pitcher.
After the cleanup, how full was the polka-dot pitcher and how full was the striped
pitcher?
Clues
Three pitchers had lemonade and three pitchers had
punch
Two pitchers had the same amount of liquid. One
pitcher contained lemonade; the other contained
punch
Lemonade
Punch
3
3
The pitcher that had the least amount of liquid
contained lemonade
One pitcher of punch was ⅓ full. That pitcher was
twice as full as another pitcher of punch.
Therefore, the ¼ full leftover drink must be
lemonade:
1
1
1
4
1
2
7
8
4
2
8
1
8
8
8
6
6
Polka-dot pitcher (lemonade): + + = + + = full
1
1
2
1
2
3
6
Stripe pitcher (punch): + + =
3
6
+ + = 1 (full)
11. Each pitcher holds 64 ounces of liquid. How much total liquid (lemonade and punch) did
12.
Dominick pour into the two pitchers full of leftovers?
7
15
1 ∗ 64 =
∗ 64 = 120 𝑜𝑢𝑛𝑐𝑒𝑠
8
8
Dominick invited 28 guests. According to the following 2 clues, how many kids were both in
his class and his math club?
 Three-fourths of them were from his class
 10 kids were from his math club.
From his class: ¾ of 28 = 21 students. 28-21 = 7
Both from his class and math club: 10 – 7 = 3 students.
13. At the party, Dominick served cupcakes. The total number of cupcakes was 4 dozens. One
third of the cupcakes were Lemon Berry, 20 were Chocolates Heaven, and the rest were
Cookies and Cream. Everyone ate a cupcake or two, and only two Cookies and Cream
cupcakes were left. How many Cookies and Cream cupcakes were eaten?
Lemon Berry: 1/3 of 48 = 16
Cookies and Cream: 48 – 16 – 20 = 12
Since there were only 2 Cookies and Cream left, there must have been 10 that were eaten.
Answer: 120 [oz.]
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Answer: 3 [students]
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Answer: 10
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2015-2016 Math Challenge
14. Dominick rented the club house to have his party. He rented from 1:30 p.m. to 5:15 p.m.
Rental charge is $38 per hour for the first 2 hours, then it is $8 per additional 15 minutes.
How much did he pay for the rental?
Rental time: 3 hours and 45 minutes.
Rental charge: ($38 x 2 hrs.) + ($8 x 7) = $76 + $56 = $132
Answer: $132
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Math Challenge 14 will be available online April 29, 2016 at www.mathinaction.org.
2015-2016 Math Challenge