A45 gm tube of 1% clotrimazole cream is combined with 15gm of base. what is the new % strength ?

0.75 %

Step-by-step explanation:

Given,

A 45 gm tube of 1% clotrimazole cream is combined with 15gm of base.

Since, the percentage of clotrimazole cream in base = 0 %,

Let x be the percentage of clotrimazole cream in the resultant solution,

So, we can write,

1 % of 45 gm + 0 % of 15 gm = x % of (45 + 15) gm

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.