A company makes 140 bags. 47 of the bags have buttons but no zips.
48 of the bags have zips but no buttons.
22 of the bags have neither zips nor buttons.
How many bags have zips on them?

71

Step-by-step explanation:

The question says we have 140 bags and we have 4 models

bags have buttons but no zips.

bags have zips but no buttons.

bags have neither zips nor buttons

bags have both zips and buttons

We don't know how many bags have zips and buttons but we know how many bags are produced. And other 3 types of bags number. So we can calculate

140-47-48-22=23

That means we have 23 bags that have zips and buttons

and

48 of the bags have zips too. that means we have 48+23=71 bags that have zips on them.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: