Question

You are having a pizza-making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party (including yourself, the host). Once you have a total count of guests, you buy exactly the needed amount of all the ingredients. The dough and sauce that you buy weigh 130 ounces all together.

Answer 1

Answer:

The total ounces of dough is 78 ounces

The total ounces of sauce is 52 ounces

The total number of guests is 13

The equation that can be used to represent the question given is:

6a + 4a = 130

Where a represents the number of guests at the party.

The above equation means that the total ounces of dough and sauce bought is a function of the number of guests at the party. These total ounces is equal to 130.

6a + 4a = 130

10a = 130

a = 130 / 10

a = total number of guests = 13

The total ounces of dough = 13 x 6 = 78 ounces

The total ounces of sauce = 13 x 4 = 52 ounces

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Answer 2

Answer: 78 ounces of dough was bought.

52 ounces of sauce was bought.

There were 13 guests .

Step-by-step explanation:

Let x = Number of guests

As per given, For each person 6 ounces of dough and 4 ounces of sauce is required.

i.e. Total ounces of dough and sauce together required = 6+4=10

The dough and sauce is 130 ounces all together.

i.e. 10x=13010x=130

Divide both sides by 10 , we get

x= 13

i.e. there were 13 guests .

Total ounces of dough = 6 x ( Number of guests) = 6 x 13= 78 ounces

hence, 78 ounces of dough was bought.

Total ounces of sauce = 4 x ( Number of guests) = 4 x 13= 52 ounces