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2 months ago

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

Mathematics

1 answer:

Zina [12.3K]2 months ago

8 0

Answer:

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

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

Step-by-step explanation:

Keep in mind the following:

1. The term "more" suggests addition.

2. The "Difference" signifies the outcome of subtraction.

a. With this knowledge, you can conclude that:

- "The difference of $6s$ and $5s$ " translates to:

$6s-5s$

- Consequently, "Three more than the difference of $6s$ and $5s$ " results in:

$(6s-5s)+3$

- The phrase "The difference of $\frac{1}{12}$ and $\frac{1}{6}$ " is represented as:

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

Therefore, "Three more than the difference of $6s$ and $5s$ can be equated to the difference of $\frac{1}{12}$ and $\frac{1}{6}$ " as:

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

b. Determine "s" to find its value:

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

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