Answer:
1. $2.50
2. 120 bagels
Step-by-step explanation:
1. First, we are told that for every twelve bagels, it costs $5
we can use this information to set up the ratio:
![\frac{5}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B12%7D)
Now, for the first question, we have to figure out how much it would cost to buy six bagels. We can use x for the cost since it is unknown as write the ratio:
![\frac{x}{6}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B6%7D)
since the rate of change is constant, we can set these two ratios equal to each other and cross multiply to solve for x.
= ![\frac{x}{6}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B6%7D)
5 * 6 = 12 * x
30 = 12x
x = 2.5
it would cost $2.50 for 6 bagels.
2. For this problem, we can use the same first ratio of:
![\frac{5}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B12%7D)
Now in this problem, the amount of bagels is unknown. we can use y to represent the number of bagels and set up the ratio of
![\frac{50}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7By%7D)
we can make these two ratios equal to each other and cross multiply
= ![\frac{50}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7By%7D)
5 * y = 12 * 50
5y = 600
y = 120
For $50, you can buy 120 bagels
hope this helped!