How Cheenta works to ensure student success?

Explore the Back-StoryTry this beautiful Problem based on Number Counting from AMC 8 2019 Examination.

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. Ike and Mike plan to buy as many sandwiches as they can, and use any remaining money to buy soft drinks. Counting both sandwiches and soft drinks, how many items will they buy?

- 6
- 7
- 8
- 9
- 10

Counting

Unitary Method

AMC 8 2019 Problem 1

9

Try to start with

Let $s$ be the number of sandwiches and $d$ be the number of sodas. So it we will have

$$

4.50 s+d=30

$$

Now look , Ike and Mike buys maxixmum number of sandwitch possible, we can say $4.50s=30$ but s is integrer so the maximum s can be is 6 that is $4.50 \times 6 = 27$ So, $\$ 3.00$ is remaining.

So, the number if sodas is 3,

So, The number of items will be,

$6+3=9$

Cheenta is a knowledge partner of Aditya Birla Education Academy

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.

JOIN TRIALAcademic Programs

Free Resources

Why Cheenta?

Online Live Classroom Programs

Online Self Paced Programs [*New]

Past Papers

More