Systems of Equations

1. Paco's Tacos sold 280 food items from its mobile unit. Only Tacos ($2 each) and burritos ($3 each) were available. It took in $660 in sales. How many tacos and how many burritos did it sell?

2. Penelope Printing Press promptly sold 5 cent pencils and 10 cent pens to the public. It sold 1000 writing utensils and took in $74.50 in sales. How many pens and how many pencils did they sell?

Question

Mathematics

Guest

7 December, 13:50

Systems of Equations

1. Paco's Tacos sold 280 food items from its mobile unit. Only Tacos ($2 each) and burritos ($3 each) were available. It took in $660 in sales. How many tacos and how many burritos did it sell?

2. Penelope Printing Press promptly sold 5 cent pencils and 10 cent pens to the public. It sold 1000 writing utensils and took in $74.50 in sales. How many pens and how many pencils did they sell?

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Answers (2)

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Maxwell Kidd · Answer 1

1. t+b=280

2t+3b=660

b=-t+280

2t-3t+840=660

-t=-180

t=180

b=100

He sold 180 tacos and 100 burritos

2. x=5 cent pencils

y=10 cent pens

x+y=1000

.05x+.1y=74.5

y=-x+1000

.05x-.1x+100=74.5

-1.5x=-25.5

15x=255

x=17

y=983

They sold 17 pencils and 983 pens

Mason Coleman · Answer 2

Let number of tacos be x and the burritos be y

x+y = 280

2x + 3y = 660

Multiplying the first equation by 2 2x + 2y = 560

Subtract the second equation from 1 2x + 3y = 660

-y=-100 y=100 so x = 180 so he sold 180 tacos and 100 burritos