jen has to put 180 cards into boxes of 6 cards each. she put 150 cards into boxes. write an equation that could use to figure out how many boxes jen need. let b stand for the unknown number of boxes.

Respuesta :

Let b be the number of boxes.

Since each box has 6 cards, we will have the term 6b to get the remaining boxes.

Since Jen already put 150 cards into boxes, we have the following:

[tex]150+6b=180[/tex]

for 150 cards, Jen used 25 boxes. We can check that the remaining 5 boxes can be found using the previous equation:

[tex]\begin{gathered} 150+6b=180 \\ \Rightarrow6b=180-150=30 \\ \Rightarrow b=\frac{30}{6}=5 \\ b=5 \end{gathered}[/tex]

therefore, the equation is 150+6b=180