Kayla’s son came home from a school party with a bag full of candy. She counted 19 pieces of candy in all. There were twice as many Laffy Taffys than there were chocolate bars. There were 3 more Jolly Ranchers than chocolate bars. How many of each type of candy does he have? Please show how you got the answer!!

4 chocolate bars

7 jolly ranchers

8 laffy taffys

Step-by-step explanation:

j = jolly ranchers

c = chocolate bars

t = laffy taffys

19 = t + j + c

2c = t (twice as many)

c + 3 = j (three more)

19 = 2c + (c + 3) + c

19 = 4c + 3

-3          -3

16 = 4c

4      4

4 = c

2c = t

2(4) = 8

t = 8

c + 3 = j

4 + 3 = 7

j = 7

Check:

4 + 7 + 8 = 19

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour