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il63 [147K]
3 years ago
15

Small scooters cost £80 and large scooters cost £130. A school buys few scooters for the playground for £1000. How many of the s

maller and larger scooter did they buy?
Mathematics
1 answer:
Sonbull [250]3 years ago
8 0

Answer:

Small scooters = 6

Large scooters = 4

Step-by-step explanation:

Let S represents small scooter and L represents large scooter

The cost of a small scooter is £80

Mathematically,  the cost of S number of small scooters is

80S

The cost of a large scooter is £130

Mathematically,  the cost of L number of large scooters is

130L

The total amount spent on both scooters is £1000

Mathematically,

80S + 130L = 1000

So we have 2 unknowns and only 1 equation. Therefore, we have use trial and error method .

Trial and Error Method:

80S + 130L = 1000

80S = 1000 - 130L

S = (1000 - 130L)/80

Let’s suppose they bought 1 large scooter

S = (1000 - 130(1))/80

S = 10.875

Number of scooters cannot be in fraction so 1 doesn’t work

Let’s suppose they bought 2 large scooter s

S = (1000 - 130(2))/80

S = 9.25

Number of scooters cannot be in fraction so 2 doesn’t work

Let’s suppose they bought 3 large scooter s

S = (1000 - 130(3))/80

S = 7.625

Number of scooters cannot be in fraction so 3 doesn’t work

Let’s suppose they bought 4 large scooters

S = (1000 - 130(4))/80

S = 6

So that means they bought 6 small scooters and 4 large scooters.

Similarly, other combinations for scooters don’t work since they yield either fractional value or negative value which cannot be correct.

Therefore, the only possible combination of small and large scooters is

6 Small scooters

4 Large scooters

Verification:

80S + 130L = 1000

80(6) + 130(4) = 1000

480 + 520 = 1000

1000 = 1000 (satisfied)

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Step-by-step explanation:

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Using this rule, the possible side lengths out of these choices that could form a triangle are:

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7 0
3 years ago
NO LINKS!!!<br><br>Find the indicated side for each triangle below:​
pogonyaev

Problem 5

Apply the Law of Sines

s/sin(S) = r/sin(R)

s/sin(78) = 10/sin(48)

s = sin(78)*10/sin(48)

s = 13.162274

<h3>Answer:    13.162274 approximately</h3>

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

Problem 6

Use the Law of Sines here as well.

x/sin(X) = y/sin(Y)

x/sin(53) = 6/sin(22)

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8 0
2 years ago
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Jessica has two strings. The first string measures 80 centimeters and the second string measures 64 centimeters.She wants to cut
finlep [7]

Answer: 16 inches.

Step-by-step explanation:

given data:

length of string A = 80 centimeters.

length of string B = 64 centimeters.

step 1

we solve for the Highest common denominator between them.

highest common denominator = 16.

what this represents is that no string would be cut more than 16inches so they can all have equal lengths at the end of cutting.

4 0
3 years ago
Find the result when 5m + 2 is subtracted from 9m
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9m - (5m + 2)

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At a baseball game, a vender sold a combined total of 170 sodas and hot dogs. the number of hot dogs sold was 50 less than the n
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Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.


x+y=170 (We know that soda + dogs is 170)

x-50=y (We know that dogs is equal to 50 less than sodas)


We can use substitution to solve this system of equations.

x+y=170

Sub in the value of y from the second equation

x+(x-50)=170

2x-50=170

2x=220

x=110


We now know the number of sodas sold was 110. Lets now plug this value into the equation to solve for y.

x+y=170

110+y=170

y=60


So, there were 60 hotdogs sold and 110 sodas sold.

8 0
3 years ago
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