2019 AMC 8 Problems/Problem 1

Problem 1

Ike and Mike go into a sandwich shop with a total of $\$30.00$ to spend. Sandwiches cost $\$4.50$ each and soft drinks cost $\$1.00$ each.

We maximize the number of sandwiches Mike and Ike can buy by finding the lowest multiple of $\$4.50$ that is less than $\$30.$ This number is $6.$

Therefore, they can buy $6$ sandwiches for $\$4.50\cdot6=\$27.$ They spend the remaining money on soft drinks, so they buy $30-27=3$ soft drinks.

Combining the items, Mike and Ike buy $6+3=9$ soft drinks.

The answer is $\boxed{\textbf{(D) }9}.$

2019 AMC 8 (Problems • Answer Key • Resources)
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