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sineoko [7]
3 years ago
14

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 362 people entered the park, a

nd the admission fees collected totaled $1,018 dollars. How many children and how many adults were admitted?
Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

Answer:

children = 172  adults = 190

Step-by-step explanation:

x= 172  y=190

1.5x+4y = 1018

x+y=362

4x+4y=1448

-1.5x-4y=-1018

2.5x=430

x=172

1.5(172) + 4y =1018

258 + 4y = 1018

4y = 760

y = 190

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8 0
2 years ago
Jayden has $1.20 worth of nickels and dimes. He has twice as many nickels as dimes. Determine the number of nickels and the numb
melamori03 [73]

Answer:

Total number of dimes=6

Total number of nickels=12

Step-by-step explanation:

The expression for the total value of money Jayden has is;

Nickels have a value of= $0.05

Dimes have a value of= $0.10

Total value=(value of nickels×number of nickels)+(value of dimes×number of dimes)

where;

Total value=$1.20

Value of a nickel=$0.05

number of nickels=y, but y=2 x

Value of a dime=0.10

number of dimes=x

replacing;

1.20=(0.05×2 x)+(0.1×x)

0.1 x+0.1 x=1.2

0.2 x=1.2

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y=2 x=2×6=12

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3 years ago
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3 years ago
A water well rig has dug to a height of -60 feet after one full day of continuous use. if the rig has been running and is curren
Romashka [77]

Given :

A water well rig has dug to a height , H = 60 feet after one full day of continuous use .

To Find :

If the height is currently 143.6 feet how time it been running .

Solution :

It is given that height after 24 hours of use is 60 feet .

So , height loose in 1 hours is :

h=\dfrac{60}{24}\ feet\\\\h=2.5 \ feet

Now , time taken to cover a height of 143.6 feet is :

t = \dfrac{143.6}{2.5}\ hours\\\\t=57.44\ hours

Therefore , time taken is 57.44 hours .

Hence , this is the required solution .

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