There are 1100 students at a school. 540 students are girls, the rest are boys. 1/10 of the girls are left handed. ⅛ of the boys are left handed. Work out the number of left handed students in the school. 

The school has a total enrollment of 1,100 students, comprising 540 girls and the remaining students being boys. To determine the number of boys, one can subtract the number of girls from the total, resulting in 560 boys. 

Among the girls, it is noted that one-tenth are left-handed, which calculates to 54 left-handed girls. Similarly, for the boys, one-eighth are left-handed, leading to a total of 70 left-handed boys. 

To find the overall number of left-handed students in the school, one must sum the left-handed girls and boys, yielding a total of 124 left-handed students. This problem exemplifies the type of calculations often encountered in gcse mathematics tuition.