Answer: The length of a pencil is 4.5 inches. The length of a crayon is 2.1 inches.
Step-by-step explanation:
Let pencils be p
Let crayons be c
6 pencils and 5 crayons are 37.5 inches. This will be:
6p + 5c = 37.5 ........ equation i
7 pencils and 6 crayons are 44.1 inches. This will be:
7p + 6c = 44.1 ........ equation ii
Combine both equations together
6p + 5c = 37.5 ......... i
7p + 6c = 44.1 .......... ii
Multiply equation i by 7
Multiply equation ii by 6
42p + 35c = 262.5 ....... iii
42p + 36c = 264.6 ........ iv
Subtract iv from iii
c = 2.1
Plug the value of c into equation i
From equation i
6p + 5c = 37.5
6p + 5(2.1) = 37.5
6p + 10.5 = 37.5
6p = 37.5- 10.5
6p = 27
p = 27/6
p = 4.5
The length of a pencil is 4.5 inches. The length of a crayon is 2.1 inches.
