Question

A hospital cafeteria has 20 20 tables. 65% 65 % of the tables have 6 6 chairs at each table. The remaining 35% 35 % of the tables have 4 4 chairs at each table. Complete the model. Then complete the statements to find the total number of chairs in the hospital cafeteria.

Answer 1

106

Explanation:

We calculate that 65% of 20 is 13, meaning 13 tables have 6 chairs while the remaining 7 only have four chairs.

We multiply 13*6 and 7*4 and add them to get the answer. 78+28 = 106, meaning there are 106 chairs in the cafeteria.

Answer 2

`\bf \begin{array} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{65\% of 20}}{\left( \cfrac{65}{100}\right)20}\implies 13`

so, 13 of the 20 tables have 6 chairs each.

that means, the remaining 7 tables, have 4 chairs each.

13 * 6 = 78 chairs total for those 13 tables.

7 * 4 = 28 chairs total for the remaining 7 tables.

78 + 28, that's how many.