One chocolate bar costs p cents and one packet of sweets costs 75 cents. Tanish pays $9.10 for 5 chocolate bars and 8 packets of sweets. Form an equation and solve it to find the value of p. Show your working.

Mark scheme

Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.

1. [B1] 5p+8×75=910 or 5p=910-8×75 or 5p/100+8×75/100=9.1[0] or 5P/100=9.1[0]-8×75/100
2. [B2] M1 for correctly rearranging their equation to p = ...
3. 62
4. After 0 scored, SC1 for answer [$]0.62
5. [2] B1 for 3c(2a – 9) seen and spoilt or final answer 3(2ac – 9c) or c(6a – 27)
6. 3c(2a-9) or -3c(9-2a) final answer
7. [2] B1 for m²n²/6 seen and spoilt or answer with two of 1/6, m and n²
8. mn²/6 final answer
9. [2] B1 for [±]√(5y/3) seen and spoilt or x² = 5y/3
10. [±]√(5y/3) oe final answer
11. [4] B3 for 56.8k – 56.5k = 56.5 – 52 or better
12. or B2 for (56.8k + 52) / (k + 1) = 56.5 oe
13. or B1 for 56.8k or 56.5(k + 1) oe seen
14. Alternative method
15. B3 for 56.8x - 56.5x = (56.5 – 52)×56.8 or better
16. or B2 for x/56.8 or (x-56.5+52)/56.5 oe
17. or B1 for k = x/56.8 or (x±52)/(k+1) = 56.5 oe seen
18. 15