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Troyanec [42]
3 years ago
9

Caspar bought 8 more jelly donuts than chocolate donuts. He bought 5 times as many jelly donuts as chocolate donuts. How many ch

ocolate donuts did Caspar buy
Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

Answer:

10 chocolate donuts were bought.

Step-by-step explanation:

Given data:

Caspar bought 8 more jelly donuts than chocolate donuts.

He bought 5 times as many jelly donuts as chocolate donuts.

<em>In order for us to answer the we need to make equation from the statements given</em>

Let jelly donuts be denoted by X

Let chocolate donuts be denoted by Y

From this statement <em>'Caspar bought 8 more jelly donuts than chocolate donuts.'</em>

<em>X +8 = Y  </em><em>(equation 1)</em>

From this statement 'He bought 5 times as many jelly donuts as chocolate donuts.'

5X = Y  <em>(equation 2)</em>

<em>Solving simultaneous equations using the method of substitution.</em>

<em>Substituting equation 2 into equation 1</em>

X + 8 = 5X

8 = 5X - X

8 = 4X <em>(Making X the subject of formula by dividing both sides by 4)</em>

2 = X

<em>Substituting X into equation 2</em>

Y= 5 * 2

Y = 10

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Answer:

3, 15, 14

Step-by-step explanation:

x + 5x + ( 5x -1) = 32

11x - 1 = 32

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11x = 33

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x = 3

therefore

the first number is 3

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2 years ago
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Dina invests $600 for 5 years at a rate of 2% per year compound interest.
kenny6666 [7]

Answer:

The investment after 5 years is $ 662.45.

Step-by-step explanation:

Principal, P = $ 600

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Rate of interest, R = 2 %

Time , t = 5 years

The amount after the time 5 years is

A = P \times \left ( 1+\frac{R}{100} \right )^t\\\\A = 600\left ( 1+0.02 \right )^5\\\\A = 662.45

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3 years ago
The length of a rectangle is equal to triple the width. Write a system of equations can be used to tind the dimensions of the re
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Answer:

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Step-by-step explanation:

Use the perimeter formula:

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Since the length is three times the width we can write:

L = 3w

We can substitue L with 3w:

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