contestada

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?

Respuesta :

KBCB

Answer:

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 :)

raphealnwobi

160 liters of 10% syrup is needed to make the mixture.

Equation

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the amount of 10% syrup. Hence:

(60% of 40) + (x of 10%) = (x + 40) of 20%

0.6 * 40 + x * 0.1 = (x + 40) * 0.2

24 + 0.1x = 0.2x + 8

x = 160 liters

160 liters of 10% syrup is needed to make the mixture.

Find out more on Equation at: https://brainly.com/question/13763238