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dedylja [7]
3 years ago
11

Eric's average income for the four months of the year 1450 point to $5 what must be his average income for the remaining eight m

onths so that his average for the year is $1780.75​
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

Answer:

$2668.63

Step-by-step explanation:

If the average of 4 months is $5

Meaning the total sum for 4 months

4×5 =$20

If the average for the year was $1780.75​

It means the total sum for a year is;

$1780.75​×12 =$21369

This means the money received for the remaining 8 months is;

$21369-$20=$21349

Hence the average income for the remaining 8months is ;

The total amount for 8 months / 8;

$21349/8= $2668.625

$2668.63

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Answer:

  • <u>The number of groups in 3 is 4 groups.</u>
  • <u>The number of groups in 5 is 7 groups.</u>

Step-by-step explanation:

Let the number of groups in 3 ⇒ x

Let the number of groups in 5 ⇒ y

There are 11 groups. ⇒ x + y = 11         →(1)

There are 47 people. ⇒ 3x + 5y = 47  →(2)

Solve (1) and (2) to get x and y.

From (1)  ⇒ y = 11 - x  →(3)

By substitution from (3) at (2) with y

∴ 3x + 5(11-x) = 47

3x + 55 - 5x = 47

-2x = 47 - 55 = -8

∴ x = -8/-2 = 4

∴ y = 11 - x = 11 - 4 = 7

So, the number of groups in 3 is 4 groups.

the number of groups in 5 is 7 groups.

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