A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

The system of equations that can be used to find the price in dollars of each large candle, x, and each small candle, y are;

3x + 4y = 64

x + 8y = 68

$64 was paid for 3 large candles and 4 small candles. If large candle cost x and small candle cost y, then;

3x + 4y = 64

Now, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.

Thus;

x + 8y = 64 + 4

x + 8y = 68

Thus, the system of equations that can be used to find the price in dollars of each large candle, x, and each small candle, y is;

3x + 4y = 64

x + 8y = 68

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system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is   and   .

Step-by-step explanation:

Here we have , A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. We need to find Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y . Let's find out:

Let the price in dollars of each large candle, x, and each small candle, y .So

A customer at a store paid $64 for 3 large candles and 4 small candles

Equation is  :

⇒  .....(1)

At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.

Equation is  :

⇒  .......(2)

3(2)-(1) i.e.

⇒

⇒

⇒

So ,  

⇒  

⇒  

Therefore , system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is   and   .

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

table 3 represents a direct variation function. : )