The directions on a box of muffin mix calls for 1-2/3 cup muffin mix and 1/2 cups water. If there is only 1 cup of muffin mix left in the box, how much water should be used?
muffin : water = 5/3 : 1/2
= 10 : 3
we want 10 : 3 = 1 : x
10/3 = 1/x
10x = 3
x = 3/10
3/10 of water should be used
or
1 2/3 cups of muffin takes 1/2 cup of water
divide by 1 2/3 or 5/3
1 cup of muffin takes (1/2) / (5/3)
= (1/2)(3/5) = 3/10
1.67/0.5 = 1/x
Cross multiply and solve for x.
1.67x = 0.5
x = 0.3
About 3/10 of a cup of water is needed.
To determine how much water should be used when there is only 1 cup of muffin mix left in the box, we can use the ratio provided in the directions.
The ratio of muffin mix to water is given as 1-2/3 cup muffin mix to 1/2 cup water. This ratio can be simplified by converting the mixed number 1-2/3 to an improper fraction.
To do this, we multiply the whole number (1) by the denominator (3) and add the numerator (2). This gives us 1 x 3 + 2 = 3 + 2 = 5. So 1-2/3 is equivalent to 5/3.
Now that we have the ratio as 5/3 cup muffin mix to 1/2 cup water, we can set up a proportion.
1 cup of muffin mix is to X cups of water as 5/3 cups of muffin mix is to 1/2 cup of water.
This proportion can be written as:
1/X = 5/3 / 1/2
Next, we can simplify the right side of the equation by multiplying the numerator and denominator of the fraction by the same number to eliminate the fractions. In this case, we can multiply the numerator and denominator of 5/3 by 2:
1/X = (5/3) * (2/2)
Simplifying this will give us:
1/X = 10/6
To solve for X, we can cross multiply:
10 * X = 1 * 6
10X = 6
Finally, divide both sides of the equation by 10 to isolate X:
X = 6/10
X can be further simplified by reducing the fraction:
X = 3/5
Therefore, when there is only 1 cup of muffin mix left in the box, you should use 3/5 cup of water.