In one day, a toy store sold 15 toy cars and 20 yo-yos for a total of $190. The next day, the toy store sold 3 toy cars and 12 yo-yos for a total of $102. What is the cost of one toy car?

Answers

Answer 1

Explanation:

Let the price of a toy car be a.

Let the price of a yo-yo be b.

You can solve this problem using simultaneous linear equation.

From the question above, you can form 2 separate equations.

For the first equation,

3 toy cars sold next day = 3a

12 yo-yos sold next day = 12b

Total price = $102

The second equation would be

[tex]3a + 12b = 102[/tex]

Now, we are not finished yet. Make sure that for the first equation, only one of the unknown (a or b) stays on the left-hand side of the equation. Let's try a.

[tex]3a + 12b = 102 \\ 3a = 102 - 12b \\ a = \frac{102 - 12b}{3} \\ a = 34 - 4b[/tex]

Lets move on with finding the second equation.

15 toy cars sold = 15a

20 yo-yos sold = 20b

Total price = $190

So, the second equation would be:

[tex]15a + 20b = 190[/tex]

You don't have to move any unknowns to the other side for the second equation.

Now, take equation 1 and substitute into equation 2. This can be done by replacing the value of a in the second equation with the value of a on the right hand-side of the first equation. For example:

[tex]15a + 20b = 190 \\ 15(34 - 4b) + 20b = 190 \\ 510 - 60b + 20b = 190 \\ 510 - 190 = 60b - 20b \\ 320 = 40b \\ b = \frac{320}{40} \\ = 8[/tex]

Hence, the price of a yo-yo, b, is $8. The price of a toy car is :

[tex]a = 34 - 4b \\ = 34 - 4(8) \\ = 2[/tex]

$2.

Answer 2

The cost of one toy car is $2.

What is a simultaneous linear equation?

Two or more linear equations that all contain the same unknown variables are called a system of simultaneous linear equations. Solving such a system means finding values for the unknown variables which satisfy all the equations at the same time.

Let the price of a toy car be [tex]a[/tex].

Let the price of a Yo-Yo be [tex]b[/tex].

For the first equation,

3 toy cars sold the next day = 3[tex]a[/tex]

12 yo-yos sold the next day = 12[tex]b[/tex]

Total price = $102

The first equation would be

3[tex]a[/tex]+12[tex]b[/tex]=102

Finding the second equation.

15 toy cars sold = 15[tex]a[/tex]

20 yo-yos sold = 20[tex]b[/tex]

Total price = $190

So, the second equation would be:

15[tex]a[/tex]+20[tex]b[/tex]=$190

With the help of these equations, we can find the price of a toy car.

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Answers

Answer:

To keep a check on the immigration to being stability in the nation.

Explanation:

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Answers

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Your answer will be D.

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The Compromise of 1850 acted as a temporary truce on the issue of slavery. The reason why is the Compromise worked out the issue of slavery in the North and South. The South is known to be "Slave States". But at this time everyone had slaves but majority of the slaves were located in the South. (So when you hear about freed slaves at the end of the Civil War most of them have moved to either Kansas or Missouri.) So becuase of the Missouri Compromise, Missouri has now freed its slaves along with slaves in Maine. It also learned how to deal with the spread of slavery into western territories. The compromise divided the lands of the Louisiana Purchase into two parts. Slavery would be allowed south of latitude 36 degrees 30'. So in conclusion this Compromise helped limit the amount of slaves in the south.

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Option C is the correct answer.

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A proposal is a plan or idea that is being put forward by an individual related to anything.

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Explanation:

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Answer:

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Answer:

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Explanation:

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Answers

Answer:

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Explanation:

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Answer:

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