Question

a fast food restaurant sold 24 burgers with cheese If the ratio of burgers sold with cheese compared to without cheese was 3:2 how many burgers did they see total?

Answer 1

The fast food restaurant sold a total of 40 burgers when taking into account that 24 burgers were sold with cheese and the ratio of burgers with cheese to those without cheese was 3:2.

Step-by-step explanation:

You asked how many burgers a fast food restaurant sold in total if 24 burgers were sold with cheese and the ratio of burgers sold with cheese to those without cheese was 3:2. To find the answer, let's set up a proportion using the ratio.

The ratio of burgers with cheese (C) to burgers without cheese (NC) is 3:2. Since we know that 24 burgers with cheese were sold, we can write:

3/2 = 24/NC

Now we solve for NC (the number of burgers without cheese):

NC = (2 × 24) / 3
NC = 48 / 3
NC = 16

Therefore, there were 16 burgers sold without cheese. To find the total number of burgers (T) sold, we add the number of burgers with cheese to the number of burgers without cheese:

T = C + NC
T = 24 + 16
T = 40

The restaurant sold a total of 40 burgers.

Answer 2

`3x- \ number\ of\ burgers\ with\ cheese\\2x-\ number\ of\ burgers\ without\ cheese\\\\ 3x=24\ \ |:3\\\\ x=8\\\\ Total=3x+2x=3*8+2*8=5*8=40\\\\They\ sell\ 40\ burgers.`