Sheet # 87 Critical Thinking
Name: _____________________ Date_____________
Show and explain your work. Draw pictures or make tables to explain your answer.
Jose and David are analyzing their baseball-card collections. Jose has 3 Di-Maggio cards that are David's favorites. David has five Jeter cards that are Jose's favorites. They decide on two equal trades:
1) two Di-Maggio cards for three Jeter cards and $1
2) three Di-Maggio cards and $1 for five Jeter cards.
How much money do Jose and David think a Di-Maggio card worth? A Jeter card?
Answer for sheet # 85
1) 2D = 3J + $1
2) 3D + 1 = 5J
From equation # 1,
Equation # 1 can be written as after multiplying by 3 both sides
3) 6D = 9J +3
Equation #2 can be written as after multiplying by 2 both sides
4) 6D +2 = 10J
Substituting equation 3 into equation 4.
9J + 3 + 2 = 10J
So J = $5
From Equation # 1, D = $8
Jeter card = $5
Di-Maggio card = $8
Answers for sheet # 84
Goldfish = G
Koi = K
G = K
Each Goldfish needs 12 inches x 2 gallons = 24 gallons
Each Koi needs 24 inches x 2 gallons = 48 gallons
1) 24G + 48K = 1000 gallons
Also number of Goldfish is equal to number of Koi fish. G = K
Using this and #1 equation
24G + 48G = 1000
72G = 1000
G = 13.88
K = 13.88
So number of Goldfish = 13.
Number of Koi fish = 13
If you use 14, the total amount of water will exceed 1000 gallons.