Question

There are 29 pencils in a basket. 7 of these pencils are green. The rest of them are yellow.
(A) what is the ratio of yellow pencinls to green pencils?
(b) what is the ratio of all pencils in the basket to yellow pencils

Answer 1

$\huge\boxed{22:7}\ \huge\boxed{29:22}$

First, we need to find the number of yellow pencils in the basket. We'll represent the number of green pencils with $g$ and the number of yellow pencils with $y$.

$\begin{aligned}7+y&=29&&\smash{\Big|}&&\text{Start with what we already know.}\\y&=22&&\smash{\Big|}&&\text{Subtract 7 from both sides.}\end{aligned}$

Our first ratio is $y:g$, or $\boxed{22:7}$.

The second ratio is $(g+y):y$:

$\begin{aligned}(g+y)&:y\\(7+22)&:22\\29&:22\end{aligned}$