An organizer is planning a wedding party and stipulates that the fruit punch be 20% concentrate. Ryan and Noel will both bring homemade fruit punch. Ryan’s punch will be 10% concentrate and Noel’s 35%. If together they can bring 15 liters of punch, how many liters should Ryan bring?

9 liters

Step-by-step explanation:

it is really easy, you have Ryan's liters + Noel liters = 15 liters

so, the same:

x + y  = 15

y = 15 - x

and you need the value of "x"

in the formula C1*V1 + C1*V2 = Cf*Vf

it is:

10%*X + 35%*Y = 20%*15

and we use the value of Y:

0.1*X + 0.35*(15 - X) = 0.2*15

so

0.1*X + 5.25 - 0.35X = 3

0.1X - 0.35X = 3 - 5.25

-0.25X = -2.25

X = 2.25/0.25

X= 9

:D

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.