A batch of lotion was made at a factory by mixing 1.3 liters of ingredient A with 2.7 liters of ingredient B in a mixing vat. By accident, a worker added an extra 0.5 liters of ingredient A to the mixing vat. How many liters of ingredi-ent B should the worker add to the mixing vat so that the ingredients will be in the original ratio

The worker needs 3.74L of ingredient B

Step-by-step explanation:

Given

Required

Determine the B equivalent of (1.3L + 0.5L) of A

Convert to Fraction

----(1)

For the new mix of A

New A requires New B:

So:

We have:

Convert this to fraction;

Substitut2 1.8L for New A

--- (2)

Equate (1) and (2)

Cross Multiply:

Divide through by 1.3

(Approximated)

Hence;

The worker needs 3.74L of ingredient B

l.ln.lln.k.nkl

step-by-step explanation:

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .