"students in a science lab are working in groups to build both a small and a large electrical circuit. a large circuit uses 4 resistors and 2 capacitors, and a small circuit using 3 resistors and 1 capacitor. there are 100 resistors and 70 capacitors available, and each group must have enough resistors and capacitors to make one large and one small circuit. what is the maximum number of groups that could work on this lab project? "

The maximum number of groups that could work on this lab project is 14.

Explanation:

Each group must build two circuits: one small and one large.

The large circuit uses 4 resistors and 2 capacitors.

The small circuit uses 3 resistors and 1 capacitor.

It means that each group needs 7 resistors and 3 capacitors.

RESISTORS

If there are 100 available resistors, you must divide this amount by the number of resistors each group needs (7), for finding how many groups can work on the lab.

In the previous value, the decimal part is not taken into account. So, according to resistors, 14 groups can work.

CAPACITORS

If there are 70 available capacitors, you must divide this amount by the number of capacitors each group needs (3), for finding how many groups can work on the lab.

In the previous value, the decimal part is not taken into account. So, according to capacitors, 23 groups can work.

FINAL ANALYSIS

If there were 23 groups in the lab, just 14 groups could build the two circuits because 9 groups could work with capacitors but not with resistors, there were not enough resistors for the 23 groups.

Thus, the maximum number of groups that could work on this lab project is 14.

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