Final answer:
To find the greatest number of pens Rosie can buy with her budget of £15, given the costs of pens and pencils, we calculate the cost of one set (one pen and one pencil) and divide her budget by this cost. Rosie can buy 37 sets, which means she can purchase a maximum of 37 pens.
Step-by-step explanation:
The student's question is about determining the maximum number of pens Rosie can buy with £15, considering that the price of a pen is £0.32 and the price of a pencil is £0.08, and she has to buy an equal number of each.
To solve this, we first add the cost of one pen and one pencil, which is £0.32 + £0.08 = £0.40 for a set of one pen and one pencil. Ne
xt, we divide Rosie's total budget of £15 by the cost of one set, which gives us £15 / £0.40 = 37.5. Since Rosie cannot buy half of a set, the greatest whole number of sets she can buy is 37.
Therefore, the maximum number of pens Rosie can buy is 37.