there are 120 cards shared between Anna, Jane and Tina. Each time Anna gets 5, Jane must get 3, and Tina has to get 2 until all of cards are divided. How many cards does each person get?
Anna's cards --- 5x
Jane's cards ---- 3x
Tina's cards ----- 2x
5x + 3x + 2x = 120
10x = 120
x = 12
plug back into my definitions
To solve this problem, we need to consider the distribution pattern given: Anna gets 5 cards, Jane gets 3 cards, and Tina gets 2 cards.
Let's use a step-by-step approach to find out how many cards each person gets.
Step 1: Determine the number of rounds needed to distribute all the cards.
Since Anna gets 5 cards in each round, the number of rounds will be the total number of cards divided by 5:
Number of rounds = 120 cards / 5 cards/round = 24 rounds
Step 2: Calculate the number of cards received by each person in each round.
Anna gets 5 cards in each round, Jane gets 3 cards, and Tina gets 2 cards. So:
Anna = 5 cards/round
Jane = 3 cards/round
Tina = 2 cards/round
Step 3: Calculate the total number of cards received by each person.
To do this, we multiply the number of cards received per round by the number of rounds for each person:
Anna = 5 cards/round * 24 rounds = 120 cards
Jane = 3 cards/round * 24 rounds = 72 cards
Tina = 2 cards/round * 24 rounds = 48 cards
Therefore, Anna receives 120 cards, Jane receives 72 cards, and Tina receives 48 cards.