Foundation November 2019 Paper 3 Q15

EdexcelCurrent spec4 marksPercentages

15 There are 800 students at a school.
Each student has either a school dinner or a packed lunch.

31% of the students have packed lunches.

55% of the students are boys.
60% of the boys have school dinners.

How many girls have packed lunches?
You must show all your working. (4)

Mark scheme

Answer	Mark	Mark scheme
72	P1	for a correct process to find the number of boys or girls, eg boys \(= 0.55 \times 800\ (=440)\) or girls \(= 0.45 \times 800\ (=360)\) or process to find proportion that are boys having packed lunch, eg \(0.55 \times 0.4\ (=0.22)\)
	P1	for a correct process to find the total number of school dinners or packed lunches, eg SD \(= 800 \times 0.69\ (=552)\) or PL \(= 800 \times 0.31\ (=248)\) or process to find proportion that are girls having packed lunch, eg \(0.31 - \text{``}0.22\text{''}\ (=0.09)\) or process to find the number of boys having school dinner, eg \(\text{``}440\text{''} \times 0.6\ (= 264)\) or number of boys having packed lunch, eg \(\text{``}440\text{''} \times 0.4\ (=176)\)
	P1	for a correct process to find the number of girls having packed lunches, eg \(\text{``}800\text{''} \times \text{``}0.31\text{''} - (440 \times 0.4)\) or \(\text{``}0.45\text{''} \times \text{``}800\text{''} - (\text{``}800\text{''} \times \text{``}0.69\text{''} - \text{``}440\text{''} \times 0.6)\) or \(\text{``}0.09\text{''} \times 800\)
	A1	cao