Untitled Flashcards

Front

A factory produces two types of widgets: Type A and Type B. Each Type A widget requires 3 hours of machining and 2 hours of assembly. Each Type B widget requires 5 hours of machining and 4 hours of assembly. In one week, the factory has 160 hours available for machining and 100 hours for assembly.

• How many Type A and Type B widgets can the factory produce in a week?

Back

• x = number of Type A widgets

• y = number of Type B widgets

• 3x+5y=160 (machining hours)

• 2x + 4y = 100 (assembly hours)

• Type A widgets: 30

• • Type B widgets: 10

Front

Jack invests $1,200 in two accounts: one pays 5% annual interest and the other pays 8%. At the end of the year, the total interest earned from both accounts is $84.

• How much money did Jack invest in each account?

Back

• x = amount invested at 5%

• y = amount invested at 8%

• x+y=1200 (total investment)

• 0.05x+0.08y=84 (total interest)

• Amount invested at 5%: $400

• Amount invested at 8%: $800

Front

A bakery produces two types of cakes: Chocolate and Vanilla. Each Chocolate cake requires 4 hours of baking and 3 hours of decorating. Each Vanilla cake requires 2 hours of baking and 5 hours of decorating. In one week, the bakery has 120 hours available for baking and 90 hours for decorating.

• How many Chocolate and Vanilla cakes can the bakery produce in a week?

Back

• x = number of Chocolate cakes

• y = number of Vanilla cakes

• 4x + 2y = 120 (baking hours)

• 3x + 5y = 90 (decorating hours)

• Chocolate cakes: 15

• • Vanilla cakes: 30

Front

Maria invests $2,000 in two different stocks: Stock X which has a return of 6% and Stock Y which has a return of 10%. At the end of the year, the total return from both stocks is $180.

• How much money did Maria invest in each stock?

Back

• x = amount invested in Stock X

• y = amount invested in Stock Y

• x + y = 2000 (total investment)

• 0.06x + 0.10y = 180 (total return)

• Amount invested in Stock X: $600

• Amount invested in Stock Y: $1400

Front

A restaurant serves two types of pasta: Spaghetti and Fettuccine. Each Spaghetti dish requires 2 hours of preparation and 1 hour of cooking. Each Fettuccine dish requires 3 hours of preparation and 2 hours of cooking. In one day, the restaurant has 60 hours available for preparation and 30 hours for cooking.

• How many Spaghetti and Fettuccine dishes can the restaurant serve in a day?

Back

• x = number of Spaghetti dishes

• y = number of Fettuccine dishes

• 2x + 3y = 60 (preparation hours)

• 1x + 2y = 30 (cooking hours)

• Spaghetti dishes: 15

• • Fettuccine dishes: 10

Front

A workshop produces two types of furniture: Chairs and Tables. Each Chair requires 2 hours of crafting and 1 hour of finishing. Each Table requires 4 hours of crafting and 3 hours of finishing. In one week, the workshop has 80 hours available for crafting and 50 hours for finishing.

• How many Chairs and Tables can the workshop produce in a week?

Back

• x = number of Chairs

• y = number of Tables

• 2x + 4y = 80 (crafting hours)

• 1x + 3y = 50 (finishing hours)

• Chairs: 20

• • Tables: 10