6th grade word fraction answer to example 5

There are 36 cars in a parking lot. If the number of cars is 4 times the number of vans, and if the number of vans is 3/5 of the trucks in the parking lot, how many trucks are in the parking lot?

To find the number of trucks in the parking lot, we need to first find the number of vans in the parking lot. So we will need two sets of the elements to solve for the number of trucks.

The first set of the 3 elements finds the number of vans. 

In ‘If the number of cars is 4 times the number of vans,”, the noun phrase after “times”  is ” the number of vans” so the number of vans is the amount in each group, and we are solving for it; “4 times” means the number of groups is 4; the amount in the 4 groups is the number of cars, 36. 

The list of the 3 elements:

the amount in each group: the number of vans?

the number of groups: 4

the amount in all the groups: 36, cars

the number of vans=the amount in each group= the total amount in all the groups÷ the number of groups= 36÷4=9 vans

Now we are ready to find the number of trucks. 

In “the number of vans is 3/5 of the trucks”, the noun after ” 3/5 of” is “trucks” so the number of trucks is the amount in 1; the fraction is 3/5; the amount in the fraction is the number of vans, 9. 

the second set of the 3 elements:

the amount in 1: the number of trucks?

the fraction: 3/5

the amount in the fraction: 9

the number of trucks= the amount in 1= the amount in a fraction÷the fraction= 9÷3/5=15 trucks