Question

Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens. The girls plan to play as many games as they can before running out of tokens. Let m represent the number of games that require 2 tokens; n represent the number of games that require 3 tokens; and p represent the number of games that require 4 tokens.
Janie plays the 3-token game four times and Jasmine plays the 4-token games 5 times. Write two equivalent expressions to represent the number of tokens that the girls will need to play each of the three games at least one time

Answer 1

Answer:

m+2n+2p=16 tokens or m+2(n+p)= 16 tokens

Step-by-step explanation:

First, we must understand how many tokens they have.

Janie played the 3-token game four times, so she used 12 tokens  (3n x 4 = 12). Jasmine played the 4-token game five times, so she used 20 tokens (4p x 5 = 20).

Added up, the girls have 32 tokens (12+20 = 32 tokens (t)).

In order to play a round of the three games, 9 tokens are required (m+n+p = 9 / 2+3+4 = 9) by each girl. (32t-18t=14) 14 tokens are left after taking a ride in every game each. 14 left divided by 2 will leave 7 more tokens for each girl. You can split these 7 tokens into an n+p = 7 tokens

Thus,

Each girl can ride as follows:

m+2n+2p=16 tokens or m+2(n+p)= 16 tokens