Question

Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which equation can she use to find g, the number of gallons of water she should add?

Answer 1

Hi !

Answer 2

Do you have options ?

Answer 3

no

Answer 4

lookin for equation tho

Answer 5

Oh ok

Answer 6

so 18% of 11 gallons = quantity of detergent
.18*11=1.96 gallons of detergent.
means in 11 gallons quantity of detergent is 1.96 gallons.

Answer 7

wat was ur equation

Answer 8

so now we have to find the quantity of mixture(add water but detergent remains 1.96 gallons because we are not adding detergent) in which the %age of detergent is 12%.

Answer 9

Is it like this

x+11 = 12%

Answer 10

We know 11 = 18%
x = 12%

Answer 11

So how should we put this in to an equation

Answer 12

so, let x is the quantity of mixture.
12% of x= 1.96 gallons
x=16.5

Answer 13

their no equation?

Answer 14

first we have to find the answer so that we know what the equation is..!

Answer 15

but x is the total mixture. in which we know that 11 gallons is of old mixture.
so quantity of water added =16.5-11=5.5 gallons

Answer 16

now lets make an equation of all this.

Answer 17

let x(new) is the total quantity of mixture in which 12% detergent is there.
and x(old) is the old mixture which is 11 gallons.
t is the quantity of detergent in the mixture.
and g is the number of gallons of water mixed.
so g=x(new)-x(old)
g= (t/.12)-x(old)

Answer 18

now here, t=1.96
and x(old)=11
so, g=(1.96/0.12)-11=5.5 gallons