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Allushta [10]
3 years ago
10

Bobby's Christmas list had 3 more than twice as many items on it than Johnny's list. Jhonny asked for 8 fewer items than bobby.

How many items were on Johnny's (x) and Bobby's (y) Christmas lists
Mathematics
2 answers:
miskamm [114]3 years ago
4 0
Because jonny asked for 8 fewer items than bobby and bobby's list had 3 more than twice that of johny, the "twice" is 5. Two possible answers for this problem could be 13 and 5 since they both satisfy the requirement. if you can't logically deduct a function for it, look at the problem closely, then test and guess! Have fun with math!
Delvig [45]3 years ago
4 0

Answer:

<h2>Bobby made the Christmas list with 13 items, and Johnny with only 5 items.</h2>

Step-by-step explanation:

"Bobby's Christmas list hat 3 more than twice as many items than Johnny's". This statement is represented by:

B=2J+3; where B is Bobby, and J is Johnny.

Then, the problem states, "Johnny asked for 8 fewer items than bobby", it's represented by:

J=B-8

Now, to find the value of each variable, we solve this system of equations by substitution:

B=2J+3\\B=2(B-8)+3\\B=2B-16+3\\13=2B-B\\B=13

Then, we replace this into second equation to find J:

J=B-8=13-8=5

Therefore, Bobby made the Christmas list with 13 items, and Johnny with only 5 items.

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The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:

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Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

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