Question

put together, heather and andre have 33 total comic books. andre has 2 times as many comic books as heather. how many comic books are in andre’s collection? how many comic books does heather have? select the person with more comic books: andre select a label for each bar. drag the bars to the right to draw a model that represents the scenario. andre’s comic books heather’s comic books

Explanation:

Step1: Define variables

Let \( h \) be the number of comic books Heather has, and \( a \) be the number Andre has. We know \( a = 2h \) and \( a + h=33 \).

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

Substitute \( a = 2h \) into \( a + h = 33 \), we get \( 2h+h = 33 \).

Step3: Solve for \( h \)

Simplify \( 2h + h=33 \) to \( 3h = 33 \), then \( h=\frac{33}{3}=11 \).

Step4: Solve for \( a \)

Since \( a = 2h \), substitute \( h = 11 \), we get \( a = 2\times11 = 22 \).

Step5: Find who has more and by how much

Andre has \( 22 \) and Heather has \( 11 \), so Andre has more. The difference is \( 22 - 11 = 11 \).

Answer:

Heather has 11 comic books, Andre has 22 comic books. Andre has more comic books (by 11).