Question

The most popular items at a bakery are its raspberry scones and its lemon poppy

seed muffins. The shop sells both items in boxes of 12 at a cost of $15 per box of
raspberry scones and $9.00 per box of lemon poppy seed muffins. On Friday and
Saturday, the shop earned $396 by selling a total of 46 boxes of these two items. If
rand I represent the number of boxes raspberry scones and lemon poppy seed
muffins sold over the two-day period, respectively, set up a system of equations
which could be used to find how many boxes were sold of each item. *?

Answer 1

The system r+l = 46 and 15r + 9l = 396 can be used to determine the number of raspberries boxes and lemon seed boxes sold.

Explanation:

Given,

Cost per box of raspberry = $15

Cost per box of lemon seeds = $9

Total boxes sold = 46

Total revenue generated = $396

Let,

r represent the number of raspberries sold

l represent the number of lemon seeds sold

According to given statement;

r+l = 46 Eqn 1

15r + 9l = 396 Eqn 2

The system r+l = 46 and 15r + 9l = 396 can be used to determine the number of raspberries boxes and lemon seed boxes sold.