Answer: 18 quarts.
Step-by-step explanation: x = ((9) / (3/4)) * (1 1/2)
x = ((9) * (4/3)) * (1 1/2)
x = (36/3) * (1 1/2)
x = (12) * (1 1/2)
x = (12) * (3/2)
x = 18
We want to find the x and y-intercepts for the given linear equation.
The x-intercept is x = 12, and the y-intercept is y = 6.
We know that x represents the number of children and y the number of adults that can attend the rodeo for $180.
The x-intercept is defined as the x-value when y = 0. So we just need to replace y by 0 and solve for x:
15*x + 30*0 = 180
15*x = 180
x = 180/15 = 12
Meaning that if there are no adults, 12 children can attend to the rodeo for $180.
The y-intercept is the y-value when x = 0, similarly to before, this is computed as:
15*0 + 30*y = 180
30*y = 180
y = 180/30 = 6
This means that if only adults go, 6 of them can go for $180.
If you want to learn more, you can read:
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Convert the mixed numbers to the improper fractions:
