Question

put together, latasia and emily have 93 total pencils. emily has 2 times as many pencils as latasia. how many pencils are in emilys collection? how many pencils does latasia have? select the person with more pencils: emily select a label for each bar. drag the bars to the right to draw a model that represents the scenario. emilys pencils latasias pencils

Explanation:

Step1: Define variables

Let \( L \) be the number of Latasia's pencils, and \( E \) be the number of Emily's pencils. We know that \( E = 2L \) and \( L + E = 93 \).

Step2: Substitute \( E \) in the total equation

Substitute \( E = 2L \) into \( L + E = 93 \), we get \( L + 2L = 93 \).

Step3: Solve for \( L \)

Combine like terms: \( 3L = 93 \). Then divide both sides by 3: \( L=\frac{93}{3}=31 \).

Step4: Solve for \( E \)

Since \( E = 2L \), substitute \( L = 31 \) into it: \( E = 2\times31 = 62 \).

Answer:

Latasia has 31 pencils, and Emily has 62 pencils. The number of pencils in Emily's collection is 62, and the number of pencils in Latasia's collection is 31. Emily has more pencils (62 > 31).