Edgar is trying out for a junior bowling league. He bowled some extra games Friday and Saturday to practice. On Friday, he paid $7 to rent a pair of shoes and x dollars an hour to bowl. He went to a different bowling alley on Saturday, where he paid $5 to rent shoes and y dollars an hour to bowl. Edgar bowled 2 hours on Friday and 3 hours on Saturday.
Pick all the expressions that represent how much Edgar spent bowling last Friday and Saturday.
2(x+7)+3(y+5)
7+2x+5+3y
14x+15y
2x+3y+12
To find out how much Edgar spent bowling last Friday and Saturday, we need to calculate the cost of shoe rental and the hourly bowling fees for each day and then add them together.
On Friday, Edgar paid $7 to rent shoes and $x per hour to bowl. He bowled for 2 hours. So, the cost for Friday is:
Cost on Friday = Shoe rental + Hourly bowling fee
Cost on Friday = $7 + 2x
On Saturday, Edgar paid $5 to rent shoes and $y per hour to bowl. He bowled for 3 hours. So, the cost for Saturday is:
Cost on Saturday = Shoe rental + Hourly bowling fee
Cost on Saturday = $5 + 3y
The total cost spent on both days would be the sum of the cost from Friday and the cost from Saturday.
Total Cost = Cost on Friday + Cost on Saturday
Total Cost = ($7 + 2x) + ($5 + 3y)
Now, we can simplify this expression:
Total Cost = $7 + 2x + $5 + 3y
Total Cost = 2x + 3y + $7 + $5
Total Cost = 2x + 3y + $12
So the expressions that correctly represent how much Edgar spent on bowling last Friday and Saturday are:
7+2x+5+3y
2x+3y+12
The other expressions provided are incorrect in the context of the information given:
2(x+7)+3(y+5) would incorrectly calculate the cost for shoe rental each hour which is not the case.
14x+15y incorrectly assumes the shoe rental cost is per hour and multiplies it by the number of hours each day (which is not correct).