Question

Owen and his children went into a restaurant where they sell hotdogs for $4 each and tacos for $2.50 each. Owen has $60 to spend and

buy a minimum of 18 hotdogs and tacos altogether. If x represents the number of hotdogs purchased and y represents the number of tac

purchased,

Answer 1

Hotdogs is 10

and Tacos 8 in numbers purchased

Explanation:

Step one:

given data

Le x represents the number of hotdogs purchased

and y represents the number of tac

hotdogs = $4 each

and tacos = $2.50 each

The total amount at hand = $60

Step two:

The systems of the equations for the situation is given as

4x+2.5y= 60---------1

x+y=18-----------------2

Required

The number of Hotdogs and Tacos purchased

from 2

x= 18-y

put x= 18-y in eqn 1

4(18-y)+2.5y= 60

72-4y +2.5y=60

collect like terms

-4y+2.5y=60-72

-1.5y= -12

divide both sides by -1.5

y= -12/-1.5

y= 8

put y= 8 in eqn 2

x+8=18

x= 18-8

x= 10