Final answer:
The formulas for the number of rulers, dotty paper, and card are r = p + 4, d = 5p, and c = 5p + 6, respectively. For 21 pupils, Miss Joplin will need 25 rulers, 105 pieces of dotty paper, and 111 pieces of card.
Step-by-step explanation:
To write a formula for the number of rulers (r), we treat each pupil as needing one ruler, plus an additional four spare rulers. The formula is:
r = p + 4
For dotty paper (d), each pupil requires five pieces, so the formula is simply:
d = 5p
Similarly, for the card (c), each pupil gets five pieces plus an extra six spare cards. Thus, the formula is:
c = 5p + 6
Given there are 21 pupils in the class, the number of each item Miss Joplin needs can be calculated as follows:
Number of rulers needed: r = 21 + 4 = 25
Number of pieces of dotty paper needed: d = 5 × 21 = 105
Number of pieces of card needed: c = 5 × 21 + 6 = 111