# Thread: algebraic problem

1. ## algebraic problem

a museum gives a discount to school groups on Mondays.it charges a group rate that includes a fee of $6.00( which includes the teacher).they also charge$0.50 for each child or additional adult. the cost for ms.kapales's third grade class to go to the museum last monday with two parents accompanying them was $19.50.how many children are in her class? a) 25 b) 26 c)20 d)27 2. Originally Posted by BeBeMala a museum gives a discount to school groups on Mondays.it charges a group rate that includes a fee of$6.00( which includes the teacher).they also charge $0.50 for each child or additional adult. the cost for ms.kapales's third grade class to go to the museum last monday with two parents accompanying them was$19.50.how many children are in her class?

a) 25 b) 26 c)20 d)27
what we are looking for is the number of children (x)

We know the base cost is $6.00 2 extra adults @$.5 is $1.00. The cost of the children x @$.5 is .5x

so if we add all of these up it is the total cost and we know that the total cost is \$19.50 so we get

$6+1+.5x=19.5 \iff 7+.5x=19.5 \iff .5x=12.5 \iff x=25$

So there were 25 children