Question

A souvenir shop sells two sizes of American flags. Small flags cost $3.50 and large flags cost $6.50. On a recent day, 155 flags were sold and $683.50 was collected. How many flags of each size were sold that day?

Answer 1

Small flags = 108

large flags= 47

Explanation:

Step one:

given

let the number of small lag be x

and big flags be y

so

3.5x+6.5y= 683.5----------1

x+y=155------------------------2

Step two:

from eqn 2 x= 155-y

put x= 155-y in eqn 1

3.5(155-y)+6.5y= 683.5

542.5-3.5y+6.5y=683.5

collect like terms

3y=141

divide by 3

y= 141/3

y=47

Step three:

put y= 47 in eqn 2

x+47=155

x= 155-47

x=108