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here are 44 boys and girls in Mary's class. The atio of the number of boys to the number of girls is \( 5: 6 \). How many boys are there in Mary's clas Hhabis car uses leiter of fuel totravel 12 km . How much fuel will be needed to travel 420 km ?

Ask by Brooks Evans. in South Africa
Feb 03,2025

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There are 20 boys in Mary's class. Habib will need 35 liters of fuel to travel 420 km.

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The Deep Dive

To find out how many boys are in Mary's class, we can start by letting the number of boys be represented as \( 5x \) and the number of girls as \( 6x \). According to the problem, the total number of students is 44. Therefore, we set up the equation: \( 5x + 6x = 44 \) This simplifies to \( 11x = 44 \), which gives us \( x = 4 \). Hence, the number of boys is \( 5x = 5 \times 4 = 20 \). So, there are 20 boys in Mary's class! Now, let’s figure out the fuel consumption for the car. If the car uses 1 liter of fuel to travel 12 km, we can determine how many liters are needed for 420 km. We do this by dividing the total distance by the distance covered per liter: \( \text{Liters of fuel} = \frac{420 \text{ km}}{12 \text{ km/liter}} = 35 \text{ liters} \) So, the car will need 35 liters of fuel to travel 420 km!

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