To make cranberry jam, you
need 12 cups of sugar for every
16 cups of cranberries. find the
amount of sugar needed for
4 cups of cranberries.
cra

6 cups of sugar

Step-by-step explanation:

If you need 12 cups of sugar for every 16 cups of cranberries, for 4 cups of cranberries you'll need 6 cups of sugar.

Here's the working:

12 cups of sugar = 16 cups of cranberries

4 cups of cranberries is 1/2 the amount of 16 cups of cranberries so we have to divide by 1/2

12 cups of sugar ÷ 2 = 6 cups of sugar

3 cups of sugar

Step-by-step explanation:

You know that you need 12 cups of sugar for every 16 cups of cranberries.

If you have 4 cups of cranberries.

we first need to find the ratio:

16/4 = 4

So 4 cups of cranberries is a fourth of 16 cups, so if we use a fourth of the 16 cups, we also need to use a fourth of the 12 cups of sugar, then we need:

12/4 = 3 cups of sugar

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1