Bryn’s Grandpa is always creating math problems for her to solve. In one problem, he gave her a store receipt that listed 72 identical items, each the same price, for a total cost of $ *67.9*. * is the missing number. Bryn’s Grandpa covered the first and last digits of the total price on the receipt with stars. Determine the values of the digits that Bryn’s Grandpa covered.
+118667 Bryn’s Grandpa is always creating math problems for her to solve. In one problem, he gave her a store receipt that listed 72 identical items, each the same price, for a total cost of $ *67.9*. * is the missing number. Bryn’s Grandpa covered the first and last digits of the total price on the receipt with stars. Determine the values of the digits that Bryn’s Grandpa covered.
#67.9& must be exactly divisible by 72. 72=2*2*2*9
a) Since it is divisible by an even number, what do you know about & ??
b) A number is divisible by 9 if the digits add up to a number that is divisible by 9.
so .... 6+7+9+ # + & = 9k k is an integer, greater that 0
15 + # + & = 9k
# + & = 9k -6
# + & = 5 or 14
This has taken it down to 5 possibilities.
Which of those are divisible by 8?
You can take if from there.
