Question

the attendant at a parking lot compared the number of hybrid vehicles to the total number of vehicles in the lot over a weekend. the ratios for the three days were equivalent. complete the table.

day	hybrids	total
sat.		72
sun.	35

day	hybrids	total
sat.	\square	72

Explanation:

Step1: Define equivalent ratio

Let $\frac{\text{Hybrids}}{\text{Total}} = \frac{5}{9}$ for all days.

Step2: Solve for Saturday hybrids

Let $x$ = Sat. hybrids. $\frac{x}{72} = \frac{5}{9}$
$x = 72 \times \frac{5}{9} = 40$

Step3: Solve for Sunday total

Let $y$ = Sun. total. $\frac{35}{y} = \frac{5}{9}$
$y = 35 \times \frac{9}{5} = 63$

Answer:

Day	Hybrids	Total
Sat.	40	72
Sun.	35	63