At Donhampton High School the ratio of boys to girls is 7:5 Each student studies one language, Spanish or German. 3/5 of the girls studied Spanish. 168 girls studied German. 75% of the boys study Spanish.
From the question we can see all the information is given about the girls. 3/5 study Spanish and 168 girls study German. If 3/5 study Spanish that means it is 60% of the girls doing this language leaving 168 girls being 40% of the amount of girls in the school. Using this info we can work out how many girls there are in the school. 168 accounts for 40% of girls like I said therefore if you 168/0.4 it gives you 420 girls in the school. We can now look at the ratio to work out the number of boys. and we can see the 5 represent the girls. That means 5/12 are girls (12 is from 7 + 5) so we get the 420 girls that we worked out and divide that by the decimal of 5/12 (which is 0.416666666666). So 420/0.41666666666 is 1008 students altogether in the school in which looking back at the ratio 7/12 are boys so 1008 x 7/12 gives 588 boys or you could do a simple subtraction of 1008 minus 420 which would give you the same answer. We know that 75% of boys study Spanish so we get 588 x 0.75 which gives 441 boys. You do 588 - 441 which gives 147 boys Hope this helps
At Donhampton High School the ratio of boys to girls is 7:5 Each student studies one language, Spanish or German. 3/5 of the girls studied Spanish. 168 girls studied German. 75% of the boys study Spanish.
From the question we can see all the information is given about the girls. 3/5 study Spanish and 168 girls study German. If 3/5 study Spanish that means it is 60% of the girls doing this language leaving 168 girls being 40% of the amount of girls in the school. Using this info we can work out how many girls there are in the school. 168 accounts for 40% of girls like I said therefore if you 168/0.4 it gives you 420 girls in the school. We can now look at the ratio to work out the number of boys. and we can see the 5 represent the girls. That means 5/12 are girls (12 is from 7 + 5) so we get the 420 girls that we worked out and divide that by the decimal of 5/12 (which is 0.416666666666). So 420/0.41666666666 is 1008 students altogether in the school in which looking back at the ratio 7/12 are boys so 1008 x 7/12 gives 588 boys or you could do a simple subtraction of 1008 minus 420 which would give you the same answer. We know that 75% of boys study Spanish so we get 588 x 0.75 which gives 441 boys. You do 588 - 441 which gives 147 boys Hope this helps
From the question we can see all the information is given about the girls. 3/5 study Spanish and 168 girls study German. If 3/5 study Spanish that means it is 60% of the girls doing this language leaving 168 girls being 40% of the amount of girls in the school. Using this info we can work out how many girls there are in the school. 168 accounts for 40% of girls like I said therefore if you 168/0.4 it gives you 420 girls in the school. We can now look at the ratio to work out the number of boys. and we can see the 5 represent the girls. That means 5/12 are girls (12 is from 7 + 5) so we get the 420 girls that we worked out and divide that by the decimal of 5/12 (which is 0.416666666666). So 420/0.41666666666 is 1008 students altogether in the school in which looking back at the ratio 7/12 are boys so 1008 x 7/12 gives 588 boys or you could do a simple subtraction of 1008 minus 420 which would give you the same answer. We know that 75% of boys study Spanish so we get 588 x 0.75 which gives 441 boys. You do 588 - 441 which gives 147 boys Hope this helps