Anthony received a gift card to a sports park that offers batting cages, go-karts, and mini-golf.

Activity Cost
Batting cages $3
Go-karts $5
Mini-golf $6


Anthony has spent $27 of the card so far.
Anthony can use his gift card at the park 6 more times. He will use both the batting cages and the go-karts each time.
How much was the gift card initially worth?



(1 point)
Responses

$48

$48

$50

$50

$60

$60

$75

1 answer

To determine the initial value of Anthony's gift card, we need to calculate the costs of his planned activities in addition to the amount he has already spent.

  1. Cost of Using Batting Cages and Go-Karts:

    • Batting cages: $3
    • Go-karts: $5
    • Total cost for one visit (both activities) = \(3 + 5 = 8\)
  2. Number of future visits:
    Anthony has 6 more visits planned.

  3. Total cost for the 6 visits:
    Total cost = \(8 \times 6 = 48\)

  4. Total spent so far:
    Anthony has spent $27.

  5. Calculating the initial gift card amount:
    Initial value of gift card = Amount spent so far + Total cost for future visits
    Initial value = \(27 + 48 = 75\)

Thus, the gift card was initially worth $75.