Answer: the golfer would need to play golf 10 times per year.
Step-by-step explanation:
Let x represent the number of times per year that the golfer need to play golf for the two options to cost the same.
A social membership costs $1775 in annual dues. In addition, he would pay a $65 greens fee and a $25 golf cart fee every time he played. This means that the total cost of playing golf for x times with the social membership option is
1775 + (65 + 25)x
A golf membership costs $2425 in annual dues. With this membership, the golfer would only pay a $25 golf cart fee when he played. This means that the total cost of playing golf for x times with the golf membership option is
2425 + 25x
For the costs to be the same,
1775 + 65x + 25x = 2425 + 25x
65x + 25x - 25x = 2425 - 1775
65x = 650
x = 10
It would still be 7:2 because when tripled, you triple both numbers, so you get 21: 6, which is the same thing as 7:2, but you just use more. And for ratios, they usually want them to be in simplest form, so it is d) 7:2. The ratio does not change when you triple both sides.
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
Add your checks: 12.56 + 52.11 + 26.03 = 90.70
Subtract that from starting balance:
463.76 - 90.70 = 373.06
Add the deposits:
373.06 + 101.32 + 10.98 = 485.36
Your balance is correct.
Subtract your balance from the bank balance:
511.39 - 485.36 = 26.03
The difference is the amount of one of the checks you wrote, which means that check has not been cashed yet.
You did not do anything wrong.
1 quart= 4 cups
1 gallon= 1 quart
1 recipe= 1 quart
Tripled recipe= 3 * 1 quart= 3 quarts
Tripled recipe= 3 quarts * 4 cups per quart= 12 cups used in triple recipe
1 gallon= 16 cups
16 cups - 12 cups used= 4 cups left
Hope this helps! :)
