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Igoryamba
3 years ago
11

Sam and Bethan share £54 in the ratio of 5:4 work out how much each gets

Mathematics
1 answer:
Sindrei [870]3 years ago
6 0
Answer:
Sam gets £30 and Bethan gets £24.
Why?
When dealing with ratios, add up the numbers in the ratio.
5 + 4 = 9
Now, divide the total amount of money by that number.
£54/9 = 6
Now you have the base rate. Multiply each quantity in the ratio by this number.
5*6 = 30
4*6 = 24
Now, the ratio is (in euro) 30:24. This means that Sam has £30 and Bethan has £24.
Check:
30 + 24 = 54
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Answer:

#4: (r,t) = (1,6) #5: (x, y) = (-\frac{1}{2},4) #6: (x, y) = (3, 5) #7: (p, r) = (10,\frac{14}{3} )

Step-by-step explanation:

#4:

Solve for t.

t = 5 + r

Substitute the given value of t into equation

-2r + 5 + r = 4

Solve for r

r = 1

substitute the given value of r into equation

t = 5 + 1

solve for t

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solution is ordered pair (r, t) = (1,6)

#5:

Solve for y.

y = 2 - 4x

Substitute the given value of y into equation

2x - (2- 4x) = -5

Solve for x

x = - \frac{1}{2}

substitute the given value of x into equation

y = 2 - 4x (- \frac{1}{2})

solve for y

y = 4

solution is ordered pair (x, y) = (-\frac{1}{2},4)

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Solve for x

x = -12 + 3y

Substitute the given value of x into equation

2 (-12 + 3y) + y = 11

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y = 5

substitute the given value of y into equation

x = -12 + 3 x 5

solve for x

x = 3

solution is ordered pair (x, y) = (3, 5)

#7

Solve for r

r = \frac{14}{3}

Substitute the given value of  into equation

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Solve for p

p = 10

solution is ordered pair (p, r) = (10,\frac{14}{3} )

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