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 of equations x+y=46 and 15x+9y=396 could be used to find the number of boxes of each item sold.

Explanation:

Given,

Cost of one box of raspberry scones = $15.00

Cost of one box of lemon poppy seed muffins = $9.00

Total boxes sold = 46

Total revenue earned = $396

Let,

x be the number of raspberry scones sold.

y be the number of lemon poppy seed muffins sold.

According to given statement;

x+y=46 Eqn 1

15x+9y=396 Eqn 2

The system of equations x+y=46 and 15x+9y=396 could be used to find the number of boxes of each item sold.