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Y_Kistochka [10]
3 years ago
13

The woodson and baker families went to the burger shack for dinner. The Woodsons bought 3 burger meals and 4 hot dog meals for $

48. The Barker bought 6 burger meals and 2 hot dog meals for $60. How much does each meal cost? Show your work.
Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0

Answer:

Burger meal costs $8 and hot dog meal costs $6.

Step-by-step explanation:

To find the price per meal, write a system of equations.

Let b = cost of a burger meal and d = cost of a hot dog meal.

Write the equation 3b + 4d = 48 for the Woodsons.

Write the equation 6b + 2d = 60 for the Barkers.

Use elimination to solve the system. Begin by making the coefficients of one variable the same in both equations by multiplying 3b + 4d = 48 by 2.

2(3b + 4d = 48) ----> 6b + 8d = 96

Stack the equations and subtract.

   6b + 8d = 96

-   6b + 2d = 60

------------------------

            6d = 36

              d = 6

Substitute d = 6 into one equation to solve for b.

3b + 4(6) = 48

3b + 24 = 48

3b = 24

b = 8

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yawa3891 [41]

Hey there,

The word problem is as follows:

  • t multiplied by 52 is the same as 349

In numbers this would mean t x 52 = 349. Now to solve for t we would do the opposite of multiplication which is is division.

So...

  • 349 ÷ 52 = t and t = 6 \frac{37}{349}

The answer would be t is equal to 6 and \frac{37}{349} or 6.712

Hope I helped,

Amna

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Anton [14]

Answer:

Exact form: x=31/3

Decimal Form: x=10.¯ 3

Mixed Number Form: x=10 1/3

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

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Which equation represents the statement: Three times the sum of a number and 5 is –30?
castortr0y [4]

Answer:

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Step-by-step explanation:

Three times the sum of a number and 5 is - 30

Vocabulary:

times = multiplication, represented with *

sum = addition, represented by +

unknown number = n

Three * the sum of a number and 5

The sum of a number and 5 is the same as saying n + 5

So we are multiplying 3 by n + 5

Because n is an unknown variable we have to separate the sum of n and 5 from being multiplied by 3 with parenthesis. We do this because if we want to multiply 3 by the sum of n and 5. If we put 3 * n + 5 we are only multiplying the unknown variable by 3 not including the 5 that is added to it.

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