The equation that represents the situation is C) 5(x+2.50) - 6(1.5x+2.25) because both groups spent the same amount.
To find the admission price for the first group of friends, we solve the equation for x.
5(x+2.50) - 6(1.5x+2.25) = 0
5x + 12.50 - 9x - 13.50 = 0
-4x - 1 = 0
-4x = 1
x = -1/4
Since admission prices cannot be negative, the correct response is D) 6(x+2.50) = 5(1.5x +2.25) and the admission price for the first group is $2.50.
A group of 6 friends went ice-skating. They each paid an admission fee of $x and $2.50 for hot chocolate. Another group of 5 friends went
ice-skating at a different rink, and they paid 1.5 times as much for admission as the first group. The group of 5 friends spent $2.25 each for hot
chocolate. If they spent the same amount, choose the response that gives an equation that represents the situation and then gives the
admission price for the first group of friends. Let x represent the admission price for the first group of friends.
A) 6(x+2.50) = 2.25(1.5x + 5); admission price for the first group is $3.10
B) 6(x+1.50) = 5(2.5x + 2.25); admission price for the first group is $2.35
C) 5(x+2.50) - 6(1.5x+2.25); admission price for the first group is $2.70
D) 6(x+2.50) = 5(1.5x +2.25); admission price for the first group is $2.50
1 answer
1 answer