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Vitek1552 [10]
3 years ago
14

One number is 4 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 538,

find the numbers
Mathematics
2 answers:
Damm [24]3 years ago
6 0

Answer:

The numbers are 73, 173 and 292.

Step-by-step explanation:

If the numbers are x, y and z we have:

y = 4x

z = x + 100

x + y + z = 538

Substituting for y in the last equation:

x + 4x + z = 538

5x + z = 538.............(1)

From the second equation:

z - x = 100................(2)

Equation (1) - (2) gives:

6x = 438

x = 73

Therefore y = 4x) = 4(73) = 292

and z = x + 100 = 73 + 100 = 173.

larisa [96]3 years ago
5 0

Answer:

73

292

173

Step-by-step explanation:

x = first number

4x = second number

100 + x = third number

x + 4x + 100 + x = 538

6x + 100 = 538

6x + 100 - 100 = 538 - 100

6x = 438

6x/6 = 438/6

x = 73

Check:

73 + 4(73) + 100 + 73 = 538

73 + 292 + 173 = 538

538 = 538

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Read 2 more answers
70 decreased by 13% =
Pie
If you have a calculator: 
<span>1) To find 1%, divide by 100 (70 / 100 = 0.7) </span>

<span>2) Then, multiply by the % you need (0.7 x 13 = 9.1) </span>

<span>Therefore 70 - 9.1 = 60.9 </span>

<span>If you don't have a calculator: </span>
<span>1) Find 50%, 10%, 5%, and 1%. With these, you can make any % you need. </span>
<span>50% = X / 2 (= 35) </span>
<span>10% = X / 10 (= 7) </span>
<span>5% = first, do 10%, then divide that by 2 (= 3.5) </span>
<span>1% = X / 100 (= 0.7) </span>
<span>Where X is the number you want to work out % for </span>

<span>2) Add those % up to get the amount you want </span>
<span>10% + 1% + 1% +1% = 13% </span>
<span>7 + 0.7 + 0.7 + 0.7 = 9.1 </span>

<span>Therefore 70 - 9.1 = 60.9
Hope that helps :)</span>
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Sarah can take no more than 22 pounds and I like the trap her suitcase weighs 112 ounces how many more pounds can she park witho
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