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2 years ago

11

There are 60 tables in a restaurant, with 25% of them seating 2 people. The tables remaining seat 4 people. How many seats are t

here in the restaurant?

1 answer:

matrenka [14]2 years ago

5 0

60 x .25 = 15 seat 2 people each.
60 - 15 = 45 remaining tables seat 4 people each.
15 x 2 = 30
45 x 4 = 180
180 + 30 = 210 seats

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2 years ago

a state employees pension fund invested a total of one million dollars into two accounts that earned 3.5 and 4.5 annual simple i

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Let the investment in first account be x and this account is earning 3.5% interest

So Interest on this account is 3.5% of x = 0.035x

So the investment in second account would be (1,000,000-x) and this account is earning 4.5% interest

So the interest on this account is 4.5% of (1,000,000-x) = 0.045*(1,000,000-x)

Given that total interest for the year is $42,000

So we have

0.035x + 0.045(1,000,000-x) = 42,000

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3 years ago

Can jack built 1/5 of a shed in the same time that kyle can build 5/8 of shed,

Helen [10]

<h3>Answer: 3/10 of a shed</h3>

=============================================================

Explanation:

Let's say the shed comes in 40 equal pieces. Each piece takes the same amount of time to assemble. Why am I picking 40? Because 8*5 = 40.

This will allow us to rewrite the fractions with a common denominator.

1/5 = 8/40 .... multiply top and bottom by 8
5/8 = 25/40 .... multiply top and bottom by 5

So Jack can build 8/40 of the shed in the same amount of time Kyle can build 25/40 of the shed.

Instead of writing fractions (which honestly are a pain to deal with), I'm going to write "8 pieces" and "25 pieces" to represent "8/40" and "25/40" respectively. Just keep in mind that there are 40 pieces total.

So again, Jack can assemble 8 pieces in the time it takes Kyle to assemble 25 pieces.

---------------

The ultimate goal is to have Kyle assemble 40 pieces while Jack puts together some unknown number of pieces (some number between 8 and 40). Let's say it's x.

We can then form this proportion

$\frac{\text{Jack's initial 8 pieces}}{\text{x pieces}}=\frac{\text{Kyle's initial 25 pieces}}{\text{goal of 40 pieces}}$

which simplifies or cleans up to

5/x = 25/40

-----------------

Let's solve for x using cross multiplication

8/x = 25/40

8*40 = x*25

320 = 25x

25x = 320

x = 320/25

x = 12.8

So in the time it takes Kyle to assemble all 40 pieces, Jack can put together 12.8 pieces of the shed. However, we can't have Jack put together some fractional piece, because each "piece" is as small as it gets. We can't get any smaller. It would be like saying a fractional part of an atom or a lego block.

So we'll round 12.8 down to 12.

Jack can assemble 12 pieces in the time it takes Kyle to assemble 40 pieces.

Let's then convert this back to fraction form

12 pieces = 12/40 of a shed = 3/10 of a shed.

8 0

2 years ago