A bouquet of lilies and tulips has 12 flowers. Lilies cost $3 each, and tulips cost $2 each. The bouquet costs $32. Write and solve a system of linear equations to find the number of lilies and tulips in the bouquet

Answers

Answer 1

Answer:

There are 8 number of lilies and 4 tulips in the bouquet.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Consider that x represents the number of lilies and y represents the number of tulips in the bouquet.

A bouquet of lilies and tulips has 12 flowers.

⇒x+y = 12 .....[1]

We are given that lilies cost $3 each and tulips cost $2 each the bouquet cost $32.

⇒ 3x + 2y = 32 .....[2]

Multiply equation [1] by 3 then

3x+ 3y = 36 .....[3]

Subtract equation [2] from [3] we get;

3x+ 3y -3x - 2y = 36 - 32

Combine like terms;

y = 4

Now Substitute the value of y in [1] we get;

x + 4 = 12

x = 8

Therefore, it is found that the number of lilies are 8 and the number of tulips are 4

Learn more about equations here;

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Answer 2

Answer: View the attached image for steps and answer

Hope it helps

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Solve the equation: 1/4 + w = 6 1/3

Answers

$(1)/( 4)+w= 6(1)/(3) \ \ |(-(1)/(4))\n \n (1)/( 4)-(1)/(4)+w= 6(1)/(3)-(1)/(4)\n \nw= 6(4)/(12)-(3)/(4)\n \nw=6(1)/(12)$

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- 1/4 - 1/4
------------------
w = 6 1/12

Emma conducted an experiment in which she rolled a six-sided, fair number cube 300 times. How many times would you predict she rolled a 6?

Answers

A number cube has six sides. The probability of landing on any of the numbers is equal. The theoretical probability of rolling a 6 is 1/6. I expect a 6 to be rolled (1/6)(300), or 50 of 300 times

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Larissa asked 40 students to name their favorite food. 10 students said their favorite food was pizza. What percent of the students Larissa surveyed said their favorite food was pizza?

Answers

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OR

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