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Ratling [72]
2 years ago
15

Crazy cakes makes wedding cakes and birthday cakes. One week they made 2 wedding cakes and 5 birthday cakes and made $500. The n

ext week they made 1 wedding cake and 7 birthday cakes but only made $430. What is the cost of a wedding cake? What is the cost of a birthday cake?
Mathematics
1 answer:
Evgen [1.6K]2 years ago
4 0

Answer:

Cost of Wedding cakes = x = $150

Cost of Birthday cakes = y = $40

Step-by-step explanation:

Let us represent:

Cost of Wedding cakes = x

Cost of Birthday cakes = y

Crazy cakes makes wedding cakes and birthday cakes. One week they made 2 wedding cakes and 5 birthday cakes and made $500.

2x + 5y = 500..... Equation 1

The next week they made 1 wedding cake and 7 birthday cakes but only made $430.

x + 7y = 430..... Equation 2

x = 430 - 7y

We substitute 430 - 7y for x in Equation 1

2x + 5y = 500..... Equation 1

2(430 - 7y ) + 5y = 500

860 - 14y + 5y = 500

860 - 500 = 14y - 5y

360 = 9y

y = 360/9

y = $40

Solving for x

x = 430 - 7y

x = 430 - 7(40)

x = 430 - 280

x = $150

Therefore:

Cost of Wedding cakes = x = $150

Cost of Birthday cakes = y = $40

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Jasmine's plane ticket cost $466.88. She has already saved 25% of the cost of the ticket. During the next 2 weeks, she will save
tresset_1 [31]

Answer: She would save $175.08 during each of the next 2 weeks.

Step-by-step explanation:

Jasmine's plane ticket cost $466.88. She has already saved 25% of the cost of the ticket. This means that the amount that she already saved is

25/100 × 466.88 = $116.72

The amount remaining would be

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3 0
3 years ago
Below are 36 sorted ages of an acting award winner. find the percentile corresponding to age 3838 using the method presented in
horrorfan [7]

Question:

Below are 36 sorted ages of an acting award winner. find the percentile corresponding to age 38 using the method presented in the textbook. 18 19 20 20 21 23 25 31 33 34 35 37 38 47 50 51 55 55 58 59 62 62 64 66 69 70 70 70 71 71 72 74 74 75 77 80 percentile of value 38 = ______ ​(round to the nearest integer as​ needed.)

Answer:

33 percentile

Step-by-step explanation:

Given the ages:

18, 19, 20, 20, 21, 23, 25, 31, 33, 34, 35, 37, 38, 47, 50, 51, 55, 55, 58, 59, 62, 62, 64, 66, 69, 70, 70, 70, 71, 71, 72, 74, 74, 75, 77, 80.

We are told to find the percentile corresponding to age 38.

To find the percentile corresponding to age 38 simply means to find the percentage of ages that are less than 38.

From the given values, the number of ages less than 38 are 12. Therefore, the percentile corresponding to age 38 would be:

(Ages less than 38/ total number of ages) * 100

= \frac{12}{36} * 100 = 33.333

33.333 ≈ 33

The percentile corresponding to age 38 = 33 percentile

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3 years ago
Eva wants to make two pieces of pottery. She needs 3/5 pound of clay for one piece and 7/10 pound of clay for the other piece. S
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She has 4/5 *3/1 bags = 12/5 = 2 and 2/5 pounds

2 2/5 - 1 3/10 = 2 4/10 - 1 3/10 = 1 and 1/10 pounds left over
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3 years ago
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