Chomper is making a potion. The recipe calls for an eighth cup of mugwort for every three-fourths cup of newt, If Chomper uses 3 cups of newt, how many cups of mugwort will he need? Round to the nearest tenth
To find out how many cups of mugwort Chomper will need, we first need to find the proportion between cups of mugwort and cups of newt.
The proportion is 1/8:3/4.
To find the amount of mugwort needed for 3 cups of newt, we cross multiply.
1/8 * 3/4 = 3/32
So Chomper will need 3/32 cups of mugwort, which is equal to 0.09375 cups.
Rounding to the nearest tenth, Chomper will need approximately 0.1 cups of mugwort.
To determine how many cups of mugwort Chomper will need, we need to use the given ratio between mugwort and newt in the recipe.
According to the recipe, for every 3/4 cup of newt, Chomper needs 1/8 cup of mugwort. We can set up a proportion to find the number of cups of mugwort required:
(1/8 cup of mugwort) / (3/4 cup of newt) = (x cups of mugwort) / (3 cups of newt)
To solve for 'x', we cross-multiply and then divide:
(1/8) / (3/4) = x / 3
To simplify the left side of the equation, we invert the second fraction and multiply:
(1/8) * (4/3) = x / 3
Multiplying the numerators and denominators across:
4 / 24 = x / 3
Simplifying:
1/6 = x / 3
To isolate 'x', we multiply both sides of the equation by 3:
(1/6) * 3 = (x / 3) * 3
1/2 = x
Therefore, Chomper will need 0.5 cups of mugwort.
Rounding to the nearest tenth, the answer is 0.5 cups of mugwort.
To solve this problem, we can set up a proportion based on the given information.
The recipe states that for every 3/4 cup of newt, we need 1/8 cup of mugwort.
So, the proportion can be written as:
(1/8 cup of mugwort) / (3/4 cup of newt) = x / 3 cups of newt
To find the value of x, we can cross-multiply and solve for x:
(1/8) * (3 cups of newt) = (3/4) * x
Multiplying both sides of the equation gives us:
3/8 = (3/4) * x
To isolate x, we divide both sides of the equation by 3/4:
(3/8) ÷ (3/4) = x
Dividing fractions is the same as multiplying by the reciprocal, so we can rewrite the equation as:
(3/8) * (4/3) = x
Simplifying the expression on the left side of the equation gives us:
1/2 = x
Therefore, Chomper will need approximately 0.5 cups of mugwort (rounded to the nearest tenth) when using 3 cups of newt.