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3 years ago

The ratio of three numbers is 4 : 3 : 1. the sum of the numbers is 64. the greatest of these three numbers is

Mathematics

2 answers:

gtnhenbr [62]3 years ago

6 0

Answer:

The greatest number is 32 .

Step-by-step explanation:

As given

The ratio of three numbers is 4 : 3 : 1.

The sum of the numbers is 64.

Let us assume that the x be the scalar multiple of the numbers .

First number = 4x

Second number = 3x

Third number = x

Than the equation becomes

4x + 3x + x = 64

8x = 64

$x = \frac{64}{8}$

x = 8

Thus

First number = 4x

= 4 × 8

= 32

Second numbers = 3x

= 3 × 8

= 24

Third number = x

= 8

Therefore the greatest number is 32 .

DanielleElmas [232]3 years ago

3 0

Total value of ratio = 4+3+1 = 8

value of 1 unit = 64/8 = 8

numbers are 4(8), 3(8), 1(8) = 32, 24, 8

so, the greatest number is 32

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Makovka662 [10]

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Step-by-step explanation:

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3 years ago

What is 28 divided by 48.

Brilliant_brown [7]

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3 years ago

Read 2 more answers

A trust fund worth $25,000 is invested in two different portfolios. This year, one portfolio is expected to earn 5.25% interest

solong [7]

Answer:

$12 000 in Portfolio 1 and $13 000 in Portfolio 2

Step-by-step explanation:

The formula for simple interest is

I = Prt

For each portfolio, t = 1 yr

For Portfolio 1, i = 5.25 % = 0.0525

For Portfolio 2, i = 4 % = 0.04

Let x = amount invested in Portfolio 1. Then

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$\begin{array}{rcr}0.0525x + 0.04(25000- x) & = & 1150\\0.0525x+ 1000 - 0.04x & = & 1150\\0.0125x + 1000 & = & 1150\\0.0125x & = & 150\\x & = & 12000\\\end{array}$

25 000 - x = 25 000 - 12 000 = 13 000

So, $12 000 is invested in Portfolio 1 and $13 000 is invested in Portfolio 2.

Check:

$\begin{array}{rcl}0.0525 \times 12000 + 0.04(25000 - 12000)& = & 1150\\630 + 0.04(13000) & = & 1150\\630 + 520 & = & 1150\\1150 & = & 1150\\\end{array}$

OK.

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4 years ago

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Answer:

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Step-by-step explanation:

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