If 16 horses eat 5 stacks of hay in 35 days, how many horses can eat 4 stacks of hay in 8 days? Math question

The number of horses that can eat 4 stacks of hay in 8 days = 56 horses

Step-by-step explanation:

The given parameters are;

The time it takes 16 horses to eat 5 stacks = 35 days

Therefore;

The time it takes 16 horses to eat 5/5 stacks (1 stack) = 35 days/5 = 7 days

The time it takes 16 horses to eat 1 stack of hay = 7 days

The time it takes 16 horses/16 to eat 1 stack of hay = 7 days × 16 = 112 days

Therefore;

The time it takes 1 horse to eat 1 stack of hay = 112 days

The time it takes 1 horse to eat 4 × 1 stack of hay = 112 days × 4 = 448 days

The time it takes 1 horse to eat 4 stacks of hay = 448 days

Therefore, given that (448 days)/(8 days/horse) = 56 horse, we have;

The number of horses that will eat 4 stacks of hay in 8 days = 56 horses.

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step-by-step explanation:

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5