Atotal of 17 cars and trucks get gasoline at the gas station. each car gets 8 gallons of gasoline. each truck gets 19 gallons of gasoline. the station sells 169 gallons of gasoline. how many cars were at the gas station? how many trucks were at the gas station?

There were 14 cars and 3 trucks at the gas station

Step-by-step explanation:

This problem can be modeled by a system of equations.

I am going to say that x is the number of cars at the gas station and y is the number of trucks at the gas station.

The problem states that there were a total of 17 cars and trucks get gasoline at the gas station. It means that x + y = 17.

The problem also states that each car gets 8 gallons of gasoline and each truck gets 19 gallons of gasoline, and that the station sells 169 gallons of gasoline. So 8x + 19y = 169.

So, we have a system with these following equations:

1) x + y = 17

2) 8x + 19y = 169

I am going to write x as a function of y in 1) and replace it in 2)

x = 17 - y

8(17 - y) + 19y = 169

11y = 169 - 136

11y = 33

y = 3

So, there were 3 trucks at the gas station.

From 1)

x = 17 - y

x = 17 - 3

x = 14

There were 14 cars at the gas station.

b) 36

step-by-step explanation:

18 times 2 is 36

you are playing an adventure game on your computer. you come across a troll who won't let you pass and there is no other way to get to the other side of the river except over the bridge he is guarding.

the troll is a nerd. he takes great delight in watching people struggle with his problems. very few get them. he only gives you one chance and then he changes the puzzle. you have to solve this one.

before you are four blocks. they are numbered 11,6, -7,21.

he tells that the answer he wants is minus and between -1 and - 2. you can use +, -, ×, ÷   ( and ) as many times as you like or no times at all. you don't like the way he's looking at you, but you need to cross the bridge. what do you do?