Foundation June 2023 Paper 2 Q17
17 There are 3 cinemas A, B and C.
The mean number of seats per cinema is 380
There are 350 seats in cinema A.
There are 250 seats in cinema B.
Work out the number of seats in cinema C. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 540 | P1 | for start of process, eg \(350 + 250\ (= 600)\) or \(3 \times 380\ (= 1140)\) or \(380 - 350\ (= 30)\) or \(380 - 250\ (= 130)\) |
| P1 | for process to work with mean and number of seats in at least one cinema, eg \(350 + 250\ (= 600)\) and \(3 \times 380\ (= 1140)\) or \(\text{``}1140\text{''} - 350\ (= 790)\) or \(\text{``}1140\text{''} - 250\ (= 890)\) or for an equation in \(x\), eg \(350 + 250 + x = 3 \times 380\) or \(380 - 350\ (= 30)\) and \(380 - 250\ (= 130)\) | |
| P1 | for process to find number of seats in cinema C, eg \(\text{``}1140\text{''} - \text{``}600\text{''}\) or for \((x =)\ \text{``}1140\text{''} - 350 - 250\) \(380 + \text{``}30\text{''} + \text{``}130\text{''}\) | |
| A1 | cao |
Additional guidance
\(350 + 250 +\) another number scores no marks eg \(350 + 250 + 150\) or \(350 + 250 + 380\)