Question

each of 6 students receives a craft kit containing y tubes of paint. genesis gives each student 4 more tubes of paint. altogether, the students have 42 tubes of paint. what does your solution of 3 represent in this problem? 6(y + 4) = 42 y = 3 there are 3 craft kits total. genesis gives 3 tubes of paint to each student. each craft kit contains 3 tubes of paint.

Explanation:

Step1: Define variable meaning

The problem states \( y \) is the number of paint tubes in each craft kit.

Step2: Verify the equation

The equation \( 6(y+4)=42 \) accounts for 6 students, each with \( y \) kit tubes plus 4 extra tubes, totaling 42. Solving gives \( y=3 \).

Step3: Match to context

Since \( y \) was defined as tubes per craft kit, \( y=3 \) refers to that quantity.

Answer:

Each craft kit contains 3 tubes of paint.