5 pencils and 4 crayons are 26.3 inches. 6 pencils and 5 crayons are 32.0 inches. Each pencil is the same length as the other pencils, and each crayon is the same length as the other crayons. What is the length of 1 pencil? What is the length of 1 crayon?
+33661 "5 pencils and 4 crayons are 26.3 inches. 6 pencils and 5 crayons are 32.0 inches. Each pencil is the same length as the other pencils, and each crayon is the same length as the other crayons. What is the length of 1 pencil? What is the length of 1 crayon?"
5p + 4c = 26.3 ...(1)
6p + 5c = 32 ...(2)
Multiply (1) by 5 and (2) by 4
25p + 20c = 5*26.3 ...(3)
24p + 20c = 4*32 ...(4)
subtract (4) from (3)
p = 5*26.3 - 4*32 = ...
Substitute the result into (1) or (2) and rearrange to find c.
I'll leave the number crunching to you.
