It costs $7.50 to enter a petting zoo. Each cup of food to feed the animals is $2.50. If you have $12.50, how many cups can you buy?

3 Answers
May 30, 2017

You can buy #5# cups of food to feed the animals before running out of money.

Explanation:

To do this simply, we can just count up how many cups we can buy.

#"starting balance" = $12.50#

#"after cup " 1 = 12.5 - 2.5 = color(blue)($10.00#

#"after cup " 2 = 10 - 2.5 = color(blue)($7.50#

#"after cup " 3 = 7.5 - 2.5 = color(blue)($5.00#

#"after cup " 4 = 5 - 2.5 = color(blue)($2.50#

#"after cup " 5 = 2.5 - 2.5 = color(blue)($0.00#

From this, we can see that after buying the #5^"th"# cup, the buyer is out of money, so that means that you can buy #5# cups of food to feed the animals before running out of money.

May 30, 2017

Pay the entry fee and use the remaining money to buy #2# cups of food.

Explanation:

The entry fee is #$7.50# and once you have paid that, you can use the remaining money to buy cups of food.

Pay the entry fee: #$12.5-$7.5 = $5#

#$5 div $2.50 = 2# cups of food can be bought.

May 30, 2017

#2 " Cups"#

Explanation:

You start with #$12.50#, and have to give #$7.50# as an entry fee(you must have no friends then) so, you'll be left with,
#$12.50#
#-$07.50#
#---#
#$5.00#
Each cup costs #$2.50#, so,
#1"st"# cup
#$5.00#
#-$2.50#
#---#
#$2.50#
#2"nd"# cup
#$2.50#
#-$2.50#
#---#
#$0.00#
Therefore, #2# cups
And, no money in your pocket