Question

Show Your Work

Camila has 7 less than 4 times Mateo’s number of Pokémon Trading cards. The sum of their Pokémon
Trading cards is greater than 51. What is the least number of Pokémon Trading cards Mateo can have?
Round to the nearest whole number.

Answer 1

12

Explanation:

Let M be the number of Pokè Trading Cards that Mateo has.

Given the information from the question, we know that,

Cecillia has 4M - 7 cards,

Mateo has M cards.

We then can input the condition as a inequality:

`4m - 7 + m > 51`

From the inequality, we can solve for M to find the least number of Pokè trading cards that Mateos can have.

`4m - 7 + m > 51 \\ 5m - 7 > 51 \\ 5m - 7 + 7 > 51 + 7 \\ 5m > 58 \\ m > (58)/(5) \\ m > 11.6`

So given the inequality above, we can deduce that the least number of card Mateos can have is 12.