Question

The museum charges $14 for adult admission and $11 for each child. the museum bill for a school field trip was $896.
a. write a linear equation in general form to represent this situation. clearly indicate what each variable represents.
b. nine adults attended the field trip. how many children were there?

Answer 1

14x + 11y = 896

x = number of adults
y= number of kids
if nine adults went then 70 kids went

Answer 2

The linear equation is 14x + 11y = 896

Also, 70 children attended the field trip.

a. Let the number of adults who went to the museum be represented by x.

Let the number of children who went to the museum be represented by y.

Therefore, the linear equation will be:

(14 × x) + (11 × y) = 896

14x + 11y = 896

In conclusion, the linear equation is 14x + 11y = 896

b. Since nine adults attended the field trip, the number of children that were there will be calculated thus:

14x + 11y = 896

14(9) + 11y = 896

126 + 11y = 896

11y = 896 - 126.

11y = 770

y = 770/11

y = 70

Therefore, 70 children attended the field trip.