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 ?

Sure, let's solve both problems step by step. --- ### **Problem 1: Number of Boys in Mary's Class** **Given:** - Total number of students (boys + girls) = 44 - Ratio of boys to girls = \(5 : 6\) **Steps to Solve:** 1. **Determine the total parts of the ratio:** \[ 5 \text{ (boys)} + 6 \text{ (girls)} = 11 \text{ parts} \] 2. **Find the value of one part:** \[ \text{Value of one part} = \frac{\text{Total students}}{\text{Total parts}} = \frac{44}{11} = 4 \] 3. **Calculate the number of boys:** \[ \text{Number of boys} = 5 \text{ (parts)} \times 4 = 20 \] **Answer:** There are **20 boys** in Mary's class. --- ### **Problem 2: Fuel Needed for Habib's Car** **Given:** - Fuel consumption = 1 liter per 12 km - Distance to travel = 420 km **Steps to Solve:** 1. **Determine the fuel efficiency:** \[ \text{Fuel efficiency} = \frac{12 \text{ km}}{1 \text{ liter}} \] 2. **Calculate the total fuel needed for 420 km:** \[ \text{Fuel needed} = \frac{\text{Total distance}}{\text{Fuel efficiency}} = \frac{420 \text{ km}}{12 \text{ km/liter}} = 35 \text{ liters} \] **Answer:** Habib will need **35 liters** of fuel to travel 420 km. --- If you have any more questions or need further clarification, feel free to ask!