Respuesta :
Answer:
The first car consumed 20 liters of fuel while the second consumed 25 liters of fuel
Step-by-step explanation:
In this question, we are told to calculate the number of gallons of fuels consumed by 2 cars given their underlying fuel efficiency values and the total number of distance travelled by these cars.
Firstly, we assign variables. Let the amount of fuel consumed by the first car be a while same consumed by the second car be b.
Now, from the question, we can deduce the following. They both went a total distance of 1075 miles. We translate this to an equation using a mix of their fuel efficiencies and their supposed fuel consumption in gallons.
This mathematically means:
35a + 15b = 1075 ......(I)
Total fuel consumed is 45 gallons. This means adding a and b gives 45
a + b = 45........ii
Solving both simultaneously, we can start from the position in ii where we can rewrite a as equals 45 - b I.e a = 45 -b . We then substitute this in I
35(45-b) + 15b = 1075
1575-35b + 15b = 1075
20b = 500
b = 500/20 = 25
Recall a = 45 -b = 45-25 = 20
Answer:
Car 1 = 20 gallons
Car 2 = 25 gallons.
Step-by-step explanation:
Given:
Car 1
Efficiency, E1 = 35 miles per gallon
Car 2
Efficiency, E2 = 15 miles per gallon
Total Distance = D1 + D2
= 1075 miles
Total gas consumption = C1 + C2
= 45 gallons
Efficiency, E = distance, D/gas consumption, C
Let the gas consumption of car 1 and 2 be C1 and C2.
1. 1075 = 35 × C1 + 15 × C2
But C1 + C2 = 45
C1 = 45 - C2, into equation 1:
1075 = 35 ×(45 - C2) + 15C2
500 = 20C2
C2 = 25 gallons
C1 = 20 gallons
