The number of cars is larger than the number of sport utility vehicles by 94.7%. The difference between the number of cars and the number of suv is 18. Find the number of suv
Given: Cars = SUVs x (1 + 0.947)
Given: Cars – SUVs = 18
Thus, Cars = 18 + SUVs.
Substitute and obtain: 18 + SUVs = SUVs x (1 + 0.947), which gives
18 = 0.947 x SUVs
SUVs = 19
Cars = 37
To find the number of sport utility vehicles (SUV), we can set up a system of equations based on the given information.
Let's assume the number of cars is represented by "C" and the number of SUVs is represented by "S".
We are given two pieces of information:
1. "The number of cars is larger than the number of sport utility vehicles by 94.7%."
This can be written as an equation:
C = S + 0.947S
2. "The difference between the number of cars and the number of SUVs is 18."
This can be written as another equation:
C - S = 18
Now we have a system of two equations:
Equation 1: C = S + 0.947S
Equation 2: C - S = 18
We can solve this system of equations to find the values of C and S.
Substituting Equation 1 into Equation 2, we get:
(S + 0.947S) - S = 18
Simplifying this equation, we have:
1.947S - S = 18
0.947S = 18
Dividing both sides of the equation by 0.947, we get:
S = 18 / 0.947
S ≈ 18.99
Therefore, the approximate number of sport utility vehicles (SUVs) is 18.99, or we can round it to the nearest whole number, which is 19.