Question

A small bakery sells a variety of different breads and buns. the bread is sold by the loaf, and each loaf is sold for the same price. the buns are sold by the dozen, and each dozen is sold for the same price. on friday, the bakery collected $360 from selling 45 loaves of bread and 30 dozen buns. on saturday, the bakery collected $470 from selling 65 loaves of bread and 35 dozen buns.

Answer 1

45L + 30D = 360 ...reduce by dividing by 15 = 3L + 2D = 24
65L + 35D = 470...reduce by dividing by 5 = 13L + 7D = 94

3L + 2D = 24......multiply by 7
13L + 7D = 94...multiply by -2
------------------
21L + 14D = 168 (result of multiplying by 7)
-26L - 14D = - 188 (result of multiplying by -2)
-----------------add
-5L = - 20
L = -20/-5
L = 4

3L + 2D = 24
3(4) + 2D = 24
12 + 2D = 24
2D = 24 - 12
2D = 12
D = 12/2
D = 6

so the loaves of bread (L) cost $ 4 per loaf and the buns (D) cost $ 6 per dozen