Question

A bakery sells 3 muffins for every 5 pizza pies. One day the bakery sold a total of 40 muffins and pizza pies together. How many muffins and how many pizza pies did the baker sell that day?

Answer 1

Ima just makes this simple for you.

Muffins: 3 6 9 12 15

Pizza Pies: 5 10 15 20 25

Total: 8 16 24 32 40

Answer 2

Finding two unkown quantities

We want to find

M: the number of muffins the bakery sold and

P: the number of pizza pies the bakery sold a certain day

Since, the bakery sold a total of 40 muffins and pizza pies together, then

M + P = 40

We know that the bakery sells 3 muffins for every 5 pizza pies, that is

3M = 5P, then

M = 5P/3

Replacing M in the first equation

M + P = 40

5P/3 + P = 40

3 · (5P/3 + P) = 3 · 40 [Multiplying by 3 both sides]

5P + 3P = 120 [Distributing the multiplication]

8P = 120 [5 + 3 = 8]

P = 120/8

P = 15

Since M = 5P/3 and P = 15, then

M = 5 · 15 /3 = 5 · 5

M = 25

Answer: the baker sold that day 25 muffins and 15 pizza pies