Question

Translate and solve: Three more than the difference of 6s and 5s is equal to the difference of 1/12 and 1/6

Answer 1

Answer:

a. $(6s-5s)+3=\frac{1}{12}-\frac{1}{6}$

b. $s=-\frac{37}{12}$

Step-by-step explanation:

You need to remember that:

1. The word "more" indicates Addition.

2. The "Difference" is the result of a Subtraction.

a. Then, knowing this information, you know that:

- "The difference of $6s$ and $5s$" must be expressed as:

$6s-5s$

- Then, "Three more than the difference of $6s$ and $5s$ " is:

$(6s-5s)+3$

- "The difference of  $\frac{1}{12}$ and $\frac{1}{6}$ " can be expressed in this form:

$\frac{1}{12}-\frac{1}{6}$

Therefore, "Three more than the difference of $6s$ and $5s$ is equal to the difference of  $\frac{1}{12}$ and $\frac{1}{6}$ " is:

$(6s-5s)+3=\frac{1}{12}-\frac{1}{6}$

b. Solve for "s" in order to find its value:

$s+3=-\frac{1}{12}\\\\12(s+3)=-1\\\\12s+36=-1\\\\12s=-1-36\\\\s=-\frac{37}{12}$