Answer:
a) The ratio of passenger cars to pickup trucks is [tex]\frac{5}{7}[/tex]
The ratio of pickup trucks to passenger cars is [tex]\frac{7}{5}[/tex]
The ratio of passenger cars to total vehicles is [tex]\frac{5}{12}[/tex]
The ratio of pickup trucks to total vehicles is [tex]\frac{7}{12}[/tex]
b) The tape diagram is shown in the attached picture.
c) The tape diagram has 12 equal-sized parts.
d) The total quantity that the tape diagram represent is 192.
e) The value of each individual part of the tape is 16.
f) There were registered 80 passenger cars and 112 pickup trucks.
Step-by-step explanation:
a) According to the information in the problem, that for every 5 passenger cars registered, there were 7 pickup trucks registered.
So the ratios are:
Passenger cars to pickup trucks: [tex]\frac{5}{7}[/tex]
Pickup trucks to passenger cars: [tex]\frac{7}{5}[/tex]
If we calculate the total vehicles: 5+7=12
So, we can get two ratios more:
Passenger cars to total vehicles is [tex]\frac{5}{12}[/tex]
Pickup trucks to total vehicles is [tex]\frac{7}{12}[/tex]
b) We make a tape diagram where each box represents a vehicle so we draw 5 boxes for cars and 7 boxes for pickup trucks.
c) If we count the total quantity of boxes, there are 12.
d) This diagram represents the total quantity of registrations in August which is 192.
e) To get the representation of each part of the tape diagram we have to divide 192 by 12. 192÷12=16
f) Finally, we multiply 16 by the number of boxes of each type of vehicle:
Cars: 16×5=80
Pickup trucks: 16×7=112
