Algebra 3
Pet Sitters Quiz #2 Practice
Name _________________________________
1. Candace has a business in which she bedazzles pants and shirts and sells them at the local farmer’s market.
The kit she has contains 360 blue crystals and 360 gold crystals. Each shirt requires 30 blue crystals and 20 gold
crystals. Each pair of pants requires 18 blue crystals and 36 gold crystals. Assume that she would sell any
amount of pants and shirts that she could produce.
Let x = number of pants and y = number of shirts
Write an inequality to represent the blue constraint.
Write an inequality to represent the gold crystal constraint.
Graph both constraints on the same set of coordinate axes. Shade the feasible region. Where do the boundary
lines intersect?
Suppose Candace made a profit of $3 for each pair of pants and $18 for each shirt. How many pants and shirts
should she sell in order to earn the most profit?
Suppose Candace made a profit of $10 for each pair of pants and $2 for each shirt. How many pants and shirts
should she sell in order to earn the most profit?
Suppose Candace made a profit of $5 for each pair of pants and $4 for each shirt. How many pants and shirts
should she sell in order to earn the most profit?
2. Kerry’s doctor recommended that she get more potassium in her diet. Apples and bananas are a good source
of potassium. Kerry needs to get at least 30 grams of potassium each day just from apples and bananas. One
apple gives 2 grams of potassium while one banana gives 5 grams of potassium. Kerry would like to eat 9
pieces of fruit or fewer each day, and she only likes apples and bananas.
Let x = number of apples and y = number of bananas
Write an inequality to represent the potassium constraint.
Write an inequality to represent the total pieces of fruit constraint.
Graph both constraints on the same set of coordinate axes. Shade the feasible region. Where do the boundary
lines intersect?
Suppose apples cost $2 and bananas cost $0.50. How many of each kind should she purchase ( and eat ) so that
she spends the least amount of money?
Suppose apples cost $0.50 and bananas cost $2. How many of each kind should she purchase ( and eat ) so that
she spends the least amount of money?
Suppose apples cost $1.25 and bananas cost $1. How many of each kind should she purchase ( and eat ) so that
she spends the least amount of money?
Pet Sitters Quiz #2 Practice Answers
1. Candace has a business in which she bedazzles pants and shirts and sells them at the local farmer’s market.
The kit she has contains 360 blue crystals and 360 gold crystals. Each shirt requires 30 blue crystals and 20 gold
crystals. Each pair of pants requires 18 blue crystals and 36 gold crystals. Assume that she would sell any
amount of pants and shirts that she could produce.
Let x = number of pants and y = number of shirts
Write an inequality to represent the blue constraint. 18x  30 y  360
Write an inequality to represent the gold crystal constraint. 36x  20 y  360
Graph both constraints on the same set of coordinate axes. Shade the feasible region. Where do the boundary
lines intersect?
The boundary lines intersect at ( 5, 9 )
x
5
10
15
20
Suppose Candace made a profit of $3 for each pair of pants and $18 for each shirt. How many pants and shirts
should she sell in order to earn the most profit?
0 pants and 12 shirts for a profit of $216
Suppose Candace made a profit of $10 for each pair of pants and $2 for each shirt. How many pants and shirts
should she sell in order to earn the most profit?
10 pants and 0 shirts for a profit of $100
Suppose Candace made a profit of $5 for each pair of pants and $4 for each shirt. How many pants and shirts
should she sell in order to earn the most profit?
5 pants and 9 shirts for a profit of $61
2. Kerry’s doctor recommended that she get more potassium in her diet. Apples and bananas are a good source
of potassium. Kerry needs to get at least 30 grams of potassium each day just from apples and bananas. One
apple gives 2 grams of potassium while one banana gives 5 grams of potassium. Kerry would like to eat 9
pieces of fruit or fewer each day, and she only likes apples and bananas.
Let x = number of apples and y = number of bananas
Write an inequality to represent the potassium constraint. 2x  5 y  30
Write an inequality to represent the total pieces of fruit constraint. x  y  9
Graph both constraints on the same set of coordinate axes. Shade the feasible region. Where do the boundary
lines intersect?
The boundary lines intersect at ( 5, 4 )
x
5
10
15
20
Suppose apples cost $2 and bananas cost $0.50. How many of each kind should she purchase ( and eat ) so that
she spends the least amount of money?
0 apples and 6 bananas for a cost of $3
Suppose apples cost $0.50 and bananas cost $2. How many of each kind should she purchase ( and eat ) so that
she spends the least amount of money?
5 apples and 4 bananas for a cost of $10.50
Suppose apples cost $1.25 and bananas cost $1. How many of each kind should she purchase ( and eat ) so that
she spends the least amount of money?
0 apples and 6 bananas for a cost of $6