hi. I am new to this. A lot of my friends recommended me to come here. I have two questions that I need help with. Can you please explain how to do this.
1) I pay £56.25 for 15 bags of gravel. How much would 7 bags cost?
2) An aeroplane travels 320km in 20 minutes. How far will it travel in three minutes?
In both questions, your method should first be to find the cost/distance for one bag/one minute, and then multiply for the given amount.
a) If you pay 56.25 for 15 bags, then you pay (56.25/15) for 1.
If you pay (56.25/15) for 1 bag, then you pay (56.25/15)*7 for seven.
Hence, 7 bags would cost:
(56.25/15)*7
= 3.75*7
= £25.97
b) If the aeroplane travels 320km in 20 minutes, then it travels (320/20)km in one minute.
Then, it travels (320/20)*3 km in three minutes.
= (320/20)*3
= 12*3
= 48km
thanks I understand now.
Hello! I'll be glad to help you with your questions. Let's break down each question and guide you through finding the answers.
1) To find out how much 7 bags of gravel would cost based on the given information, we can set up a proportion using a ratio. The ratio we'll set up is the cost of 15 bags to the cost of 7 bags. So our equation will look like this:
15 bags / 7 bags = £56.25 / x (where x represents the cost of 7 bags)
To solve for x, we'll cross multiply:
15 * x = 7 * £56.25
Now, multiply the numbers on each side of the equation:
15x = 7 * £56.25
Next, divide both sides of the equation by 15 to isolate x:
x = (7 * £56.25) / 15
Now you can calculate the value of x using a calculator or by simplifying the expression further:
x = £393.75 / 15
After dividing, you'll find that 7 bags of gravel would cost £26.25.
2) To determine how far the aeroplane will travel in three minutes, we can use the concept of speed. The airplane travels at a certain speed, which we can find by dividing the distance by the time.
The speed can be calculated as:
Speed = Distance / Time
In this case, the speed is given as 320 km in 20 minutes. We can use this information to find the speed of the airplane:
Speed = 320 km / 20 min
To find how far the airplane will travel in three minutes, we need to calculate the distance using the speed:
Distance = Speed * Time
Plugging in the values:
Distance = (320 km / 20 min) * 3 min
Performing the calculations:
Distance = 16 km/min * 3 min
Multiplying the numbers:
Distance = 48 km
Based on the given information, the aeroplane will travel 48 kilometers in three minutes.
I hope these explanations help! If you have any more questions, feel free to ask.