a confectioner mixes forty liters of 60% sugar syrup with a 10% sugar syrup to make a 20% sugar syrup. how much of the 10% syrup should she use?

160 liters

Step-by-step explanation:

"a confectioner mixes forty liters of 60%":

Equation: 40 * .60

ow plug it in

0.60*40 + 0.10x = 0.20(40+x)

"how much of the 10% syrup should she use?":

.10x

"...to make a 20% sugar syrup.":

0.20(40+x)

Now that I have split the question into equations, let's put them together:

0.60*40 + 0.10x = 0.20(40+x)

Solve:

60*40 + 10x = 20*40 + 20x

10x = 40*40

x = 160 liters (amt of 10% solution needed)

Hope this helps :)

step-by-step explanation:

mujhko hui na