(a) Two different unit rates using the relationship that the animals eat 36 bushels of hay in 30 days are:
1) 36 bushels of hay in 30 days is equal to 6/5 bushels of hay in 1 day, which can be simplified to 1 1/5 bushels of hay in 1 day.
2) Another unit rate is 36/30 bushels of hay in 1 day, which can be simplified to 6/5 bushels of hay in 1 day.
(b) If the animals eat the same amount of hay each day, and it takes 30 days for them to eat 36 bushels of hay, we can set up a proportion to find the number of days it takes for them to eat 42 bushels of hay:
36 bushels of hay / 30 days = 42 bushels of hay / x days
Cross multiplying gives:
36x = 42 * 30
36x = 1260
Dividing both sides by 36 gives:
x = 1260 / 36
x = 35
So, it will take the animals 35 days to eat 42 bushels of hay.
Complete the parts below. Write your answers as whole numbers or fractions in simplest form.
(a)Justin feeds his farm animals bushels of hay. The animals eat 36 bushels of hay in 30 days. Give two different unit rates using this relationship.
(b)Assume the animals eat the same amount of hay each day. How many days does it take for the animals to eat 42 bushels of hay?
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