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natali 33 [55]
3 years ago
7

A charity fair raised $6,000 by selling 500 lottery tickets. There were two types of lottery tickets: A tickets cost $10 each, a

nd B tickets cost $60 each. How many tickets of each type were sold?
A.5, 185
B.370, 230
C.410, 90
D.480, 20
E.250, 250
Mathematics
2 answers:
jeka943 years ago
8 0
The ans is option number D


stira [4]3 years ago
7 0
For this question you need to form two equation and do simultaneous equation.
first you need to let A tickets to be x and B tickets to be y.
the first equation is 10x+60y=6000
the second equation is x+y=500
use one of the equation and make the one expression the subject. so i choose equation two.
x+y=500
x=500-y (equation 3)
sub equation 3 into equation 1,

10x+60y=6000
10(500-y)+60y=6000
5000-10y+60y=6000
50y=1000
y=20 tickets

sub y=20 into equation 3,
x=500-20
x=480 tickets
therefore,
A tickets= 480 tickets
B tickets =20 tickets

therefore the answer is D.

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It cost $1.25 for half a pound of birdseed . What is the unit rate and what does it represent
natima [27]

Answer:

Unit rate is $ 2.50. It represents the cost of one pound of birdseed.

Step-by-step explanation:

Given:

Cost of half a pound of birdseed = $ 1.25.

Unit rate is the rate of one pound of birdseed.

∵ Cost of half a pound of birdseed = $ 1.25.

∴ Cost of 1 pound of birdseed = \frac{1.25}{\frac{1}{2} }=1.25\times 2= \$\textrm{ } 2.50

Therefore, the unit rate is $ 2.50 and it represents the cost of one pound of birdseed.

8 0
3 years ago
A soap manufacturer advertises that it has increased the size of their bottle of dishwashing soap to 18.4 ounces, which is 5% mo
miskamm [114]

Based on the information given the original size of the bottle is 17.5 ounces.

Using this formula

Original size of the bottle =New bottle size / Percentage increase

Where:

New bottle size=18.4 ounces

Percentage increase=(1+0.05)=1.05

Let plug in the formula

Original size of the bottle=18.4/(1+0.05)

Original size of the bottle=18.4/1.05

Original size of the bottle=17.5 ounces

Inconclusion the original size of the bottle is 17.5 ounces.

Learn more about original size of the bottle here:brainly.com/question/25001466

7 0
2 years ago
The ratio of the cost of a shirt to the cost of a jacket is 2:5. If the jacket cost $240 more than the shirt,
IrinaVladis [17]

Given:

The ratio of the cost of a shirt to the cost of a jacket is 2:5.

The jacket cost $240 more than the shirt.

To find:

The cost of the shirt and the cost of the jacket.

Solution:

Let x be the cost of the shirt.

The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).

The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,

\dfrac{x}{x+240}=\dfrac{2}{5}

5x=2(x+240)

5x=2x+480

Subtract 2x from both sides.

5x-2x=480

3x=480

Divide both sides by 3.

x=\dfrac{480}{3}

x=160

So, the cost of shirt is $160.

Now, the cost of jacket is:

160+240=400

Therefore, the cost of shirt is $160 and the cost of jacket is $400.

6 0
2 years ago
Three relatives will share an inheritance of 196,800 in the ratio of 3 to 7 to 2. How many dollars of the inheritance will each
navik [9.2K]

Answer:

49200

114800

32800

Step-by-step explanation:

196800/12=ans

ans * 3

ans * 7

ans * 2

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