. A recipe calls for 3 1/2 cups of flour and 3/4 cup of sugar. If you want to make the recipe with 6 cups of flour, how much sugar will you need? Show your work.
help please and thank you.
[(flour) / (3 1/2)] * (3/4) = sugar
F/S = 3 1/2/(3/4) = 7/2 * 4/3 = 28/6 = 4 2/3 = 14/3.
6/s = 14/3.
S =
To figure out how much sugar you will need when using 6 cups of flour, we can set up a proportion:
(flour) cups / (sugar) cups = 3.5 cups / 0.75 cups
Cross multiplying the values:
(flour) cups * 0.75 cups = 3.5 cups * (sugar) cups
Now we can solve for (sugar) cups:
(sugar) cups = (flour) cups * 0.75 cups / 3.5 cups
Plugging in the value for (flour) cups as 6:
(sugar) cups = 6 cups * 0.75 cups / 3.5 cups
Simplifying the equation:
(sugar) cups = 1.5 cups / 3.5 cups
Now we can calculate the value:
(sugar) cups = 0.4286 cups
Therefore, when using 6 cups of flour, you will need approximately 0.4286 cups of sugar.