2020 AMC 10A Problem 1

Name: 2020 AMC 10A Problem 1 — Video Solution
Uploaded: 2022-11-05T14:22:22-07:00
Duration: 2 h 28 min 50 s
Description: Po-Shen Loh presents the video solution to 2020 AMC 10A Problem 1, from "2020 AMC 10A LIVE Solve".

Question

What value of

x

satisfies

x- \frac{3}{4} = \frac{5}{12} - \frac{1}{3}?

\displaystyle -\frac{2}{3}

\displaystyle \frac{7}{36}

\displaystyle \frac{7}{12}

\displaystyle \frac{2}{3}

\displaystyle \frac{5}{6}

Answer: E

Concepts:fraction linear equation

Difficulty rating: 560

Small hint:

First simplify the right side using denominator

12

Big hint:

After finding the right side, add

\frac34

to both sides

Video solution:

Click to load, then click again to play

Written solution:

The right side is

\dfrac{5}{12}-\dfrac13=\dfrac{5}{12}-\dfrac4{12}=\dfrac1{12}

. Thus

x=\dfrac34+\dfrac1{12}=\dfrac9{12}+\dfrac1{12}=\dfrac56

. Thus, E is the correct answer.