Question

A large pizza is topped with meat pieces and vegetable pieces in a ratio 2/11 . The total number of topping pieces is 39. How many pieces of each topping a there ? Meat pieces : Vegetable pieces:

Answer 1

Step-by-step explanation

Step 1

find the proportion of meat pieces and vegetable pieces

`\text{ratio}=(2)/(11)`

in other words, for every 2 pieces of meat the pizza has 11 pieces of vegetable

or , 2 of the 13 pieces are meat

and

11 of the 13 pieces are vegetables

so, the proportions are

`\begin{gathered} \text{Proportion vegetables=}\frac{11\text{ }}{13} \\ \text{Proportion of meat= }(2)/(13) \end{gathered}`

Step 2

Multiply each proportion by the number of pieces to find the number of pieces

`\begin{gathered} Number\text{ of pieces of meat=39}\cdot(2)/(13)=6 \\ \text{Number of pieces of vegetable=39}\cdot(11)/(13)=33 \end{gathered}`

so

Meat pieces:6

Vegetable pieces:33

I hope this helps you