financial literacy

Question

Under his household expense budget category, Mark has allocated $60 per month for pet food. He can purchase wet food in a can for $1.50 per can or dry food in a bag for $3 per bag.

Name a combination of bags and cans that will keep him under budget.

Answer 1

x=# of cans

y=# of bags

 

$1.50x+$3.00y=$60.00

15x+30y=600

These are all the combinations:

x=2 cans and y=19 bags

x=4 cans and y=18 bags

x=6 cans and y=17 bags

8 and 16

10 and 15

12, 14

14, 13

16, 12

18, 11

20, 10

22, 9

24, 8

26, 7

28, 6

30, 5

32, 4

34, 3

36, 2

38, 1

 

Answer 2

If Mark decides on dry food only, 60/3 = 20 bags of food. If he decides on wet food, 60/1.50 = 40 cans of food. Note, he can purchase 2x more wet than dry. Therefore, he can buy 1/2 of each and still fall within budget.

 

10 bags of dry = $30.00

      

      +

 

20 cans of wet = $30.00

______________________

                         $60.00