Answer:

Step-by-step explanation:
sum the parts of the ratio, 4 + 5 = 9 parts
Divide the amount by 9 to find the value of one part of the ratio
£540 ÷ 9 = £60 ← value of 1 part of the ratio , thus
4 parts = 4 × £60 = £240 ← Alvin's share
5 parts = 5 × £60 = £300 ← Simon's share
× £240 = £120
× £300 = £30
Theo receives £120 + £30 = £150 , which as a fraction is
( divide numerator/ denominator by 30 )
=
← in simplest form
If the bike cost $80 and got it with a discount to $60 the answer is 20%
Answer:
Step-by-step explanation:
The main goal in any equation is to get the unknown variable all by itself. In this case that means moving the fraction of 7/8 over to the other side of the equals sign. On the left, the fraction is being subtracted; that means that to move it to the other side, we add it since adding is the opposite of subtracting.

On the left side, if you have 7/8 and then take that 7/8 away, it's gone completely. What we have now is

We need a common denominator so we can add 4 (which is 4/1) to 7/8. 8 is the common denominator.
and
giving us
Answer:
x = -84, y = -58
Step-by-step explanation:
2x - 3y = 6 --- Equation 1
Equation 1×5: <em>10x</em> - 15y = 30 --- Equation 2
5x + 7y = -14 --- Equation 3
Equation 3×2: <em>10x</em> + 14y = -28 --- Equation 4
<u>I will eliminate 10x. </u>
Equation 4-2:
10x - 15y - 10x + 14y = 30-(-28)
-y = 30+28
= 58
y = -58
Substitute y =-58 into Equation 1.
2x - 3y = 6
2x - 3(-58) = 6
2x - (-174) = 6
2x + 174 = 6
Find 2x.
2x = 6-174
= -168
Find x.
x = -168 ÷ 2
x = -84