An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates.(cont'd)

Question

John paid the admission fees for his 6 nephews and rented 5 pairs of ice skates. He was charged $32.00. Juanita paid the admission fees for her 7 grandchildren and rented 5 pairs of ice skates. She was charged $35.25. If a = admission fee and r = skate rental fee, which of the following systems of equations can be used to represent this.

8a + 5r = 32.00; 7a + 7r = 35.00

5a + 6r = 32.00; 5a + 7r = 35.00

6a + 5r = 32.00; 7a + 5r = 35.25

32.00a + 5r = 5; 35.25a + 5r = 7

Answer 1

a = admission fee

r = rental fee for skates

JOHN

John paid the admission fees for his 6 nephews and rented 5 pairs of ice skates.

6 nephews = 6a

5 pairs of ice skates = 5r

HE was charged $32.00.

6a + 5r = 32

The only choice containing 6a + 5r is the third one down,

6a + 5r = 32.00; 7a + 5r = 35.25. THIS IS THE CORRECT CHOICE.

When I tutor SAT MATH PREP, I tell my students to stop right now, since it is a timed test.

Unless, one of your choices is "NONE OF THE ABOVE".

However, I will show you the second part of the solution pertaining to JUANITA.

JUANITA

7a = Juanita paid the admission fees for her 7 grandchildren

5r = and rented 5 pairs of ice skates.

7a + 5r = 35.25 She was charged $35.25.

CHOICES

8a + 5r = 32.00; 7a + 7r = 35.00

5a + 6r = 32.00; 5a + 7r = 35.00

6a + 5r = 32.00; 7a + 5r = 35.25

32.00a + 5r = 5; 35.25a + 5r = 7

Hope this was helpful KAYLA.