A farmer observes that the number of cows in one paddock is half the number of sheep plus 5.Fill in the blanks to give an equation relating the number of cows, 𝑐, to the number of sheep, 𝑠. =12×+.If there are 25 cows in the paddock, how many sheep are there?There are sheep.Skip to navigation Question1, Fully Attempted.Question2, Fully Attempted.Question3, Fully Attempted.Question4, Fully Attempted.Question5, Fully Attempted.Question6, Fully Attempted.Question7, Fully Attempted.Question8, Fully Attempted.Question9, Unattempted.Question10, Unattempted.Question11, Unattempted.Question12, Unattempted.Question13, Unattempted.Question14, Unattempted.Question15, Unattempted.PreviousNext
Question
A farmer observes that the number of cows in one paddock is half the number of sheep plus 5.Fill in the blanks to give an equation relating the number of cows, 𝑐, to the number of sheep, 𝑠. =12×+.If there are 25 cows in the paddock, how many sheep are there?There are sheep.Skip to navigation Question1, Fully Attempted.Question2, Fully Attempted.Question3, Fully Attempted.Question4, Fully Attempted.Question5, Fully Attempted.Question6, Fully Attempted.Question7, Fully Attempted.Question8, Fully Attempted.Question9, Unattempted.Question10, Unattempted.Question11, Unattempted.Question12, Unattempted.Question13, Unattempted.Question14, Unattempted.Question15, Unattempted.PreviousNext
Solution
The equation relating the number of cows, 𝑐, to the number of sheep, 𝑠, is 𝑐 = 0.5𝑠 + 5.
If there are 25 cows in the paddock, we can substitute 𝑐 with 25 in the equation to find the number of sheep.
So, 25 = 0.5𝑠 + 5.
To solve for 𝑠, first subtract 5 from both sides of the equation:
25 - 5 = 0.5𝑠,
which simplifies to 20 = 0.5𝑠.
Then, to isolate 𝑠, divide both sides of the equation by 0.5:
20 / 0.5 = 𝑠,
which simplifies to 40 = 𝑠.
So, there are 40 sheep in the paddock.
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