Question

Marlene has total of 120 sweets.she packs some sweets In packets of 4 and the rest in packets of 9.she uses a total of 15 packets. How many packets of 4 sweets does she pack and how many packets of 9 sweets does she pack

Answer 1

Answer:

4 sweets packets = 3

9 sweets packets = 12

Step-by-step explanation:

let the packet of 4 sweets be x

let the packet of 9 sweets be y

total packets is x + y = 15 equ (1)

total number of sweets = 120

4x + 9y = 120 equ (2)

multiply equ (1) with 4

4x + 4y = 60 equ (3)

subtract (2) - (3)

we get

5y = 60

y = 60/5 = 12

substitute y = 12 in equ (1)

x + y = 15

x + 12 = 15

x = 15 - 12

x = 3

substitute x and y in equ (2)

= 4(3) + 9(12)

= 12 + 108

= 120

3 packets of 4 sweets and 12 packets of 9 sweets.

hope you get your answer