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:
[tex]\frac{5}{12}[/tex]
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:
[tex]\frac{x}{6}[/tex]
since the rate of change is constant, we can set these two ratios equal to each other and cross multiply to solve for x.
[tex]\frac{5}{12}[/tex] = [tex]\frac{x}{6}[/tex]
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:
[tex]\frac{5}{12}[/tex]
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
[tex]\frac{50}{y}[/tex]
we can make these two ratios equal to each other and cross multiply
[tex]\frac{5}{12}[/tex] = [tex]\frac{50}{y}[/tex]
5 * y = 12 * 50
5y = 600
y = 120
For $50, you can buy 120 bagels
hope this helped!
