Question

Lucy works for a company that manufactures liquid dyes for fabric. She currently wants to mix up some 23%-concentrated teal dye. She has 16 gallons of 15%-concentrated teal dye, as well as plenty of 25%-concentrated teal dye. How many gallons of the 25%-concentrated teal dye will Lucy need to add to the 15%-concentrated teal dye to make a batch with a concentration of 23%? _____ gallons

Answer 1

Answer:

64 gallon.

Step-by-step explanation:

Quantity of 15% concentrated dye=16 gallon.

let the quantity of 25% dye needed for making 23% dye be X gallon..

Therefore asper question,

(15/100)×16+(25/100)×X=(23/100)×(16+X)

(15×16)+25X=(16+X)×23

240+25X=368+23X

2X=128

X=64

Therefore the quantity of 25% concentrated dye needed for making 23% concentrated dye is 64gallon.