you are making gift baskets.each basket will contain three different kinds of candles: tapers,pillars, and jar candles. Tapers cost $1 each, pillars cost $4 each, and jar candles cost $6 each. You put 8 candles costing a total of $24 in each basket, and you include as many tapers as pillars and jar candles combined.

write a system of equation that represents this situation

"You put 8 candles"

T+P+J=8

"costing a total of $24 "
1T+4P+6J = 24

"as many tapers as pillars and jar candles combined"
T=P+J

I know this was posted when I was 4 years old but this was on my math homework and by using elimination the final answer would be 4 tapers, 2 pillars, and 2 jar candles.

Sure! Let's define some variables to represent the quantities of each type of candle:

Let x represent the number of tapers.
Let y represent the number of pillars.
Let z represent the number of jar candles.

We can set up the following equations based on the given information:

1) The total cost of the candles in each basket is $24:

1x + 4y + 6z = 24

2) The number of tapers is equal to the sum of pillars and jar candles:

x = y + z

These equations represent the situation.

To write a system of equations that represents this situation, we can use the following unknown variables:

Let's assume the number of tapers in each basket is represented by the variable 't', the number of pillars is represented by 'p', and the number of jar candles is represented by 'j'.

1) First equation: You put 8 candles costing a total of $24 in each basket.
This can be written as:

t + p + j = 8 (equation 1)

2) Second equation: You include as many tapers as pillars and jar candles combined.
Since the number of tapers is equal to the sum of pillars and jar candles, we can write:

t = p + j (equation 2)

Now we have a system of equations that represents the given situation:

Equation 1: t + p + j = 8
Equation 2: t = p + j