Answer:
The length of 1 pencil is 2.8 inches and the length of 1 crayon is 1.4 inches
Explanation:
Let the length of one pencil be p.
Let the length of one crayon be c.
5 pencils and 4 crayons are 19.6 inches. Therefore:
5p + 4c = 19.6 ___________ (1)
6 pencils and 5 crayons are 23.8 inches. Therefore:
6p + 5c = 23.8 ___________ (2)
We now have two simultaneous equations:
5p + 4c = 19.6 ___________ (1)
6p + 5c = 23.8 ___________(2)
Multiply (1) by 6 and (2) by 5, we have:
30p + 24c = 117.6 _________(3)
30p + 25c = 119 __________ (4)
Subtract (3) from (4), we have:
30p + 25c - (30p + 24c) = 119 - 117.6
30p - 30p + 25c - 24c = 1.4
=> c = 1.4 inches
Put the value of c in (1), we have:
5p + 4(1.4) = 19.6
5p + 5.6 = 19.6
=> 5p = 19.6 - 5.6
5p = 14
p = 14 / 5
p = 2.8 inches
The length of 1 pencil is 2.8 inches and the length of 1 crayon is 1.4 inches.