Colin and Dan win some money and share it in the ratio 4:5. Colin gets £52. How much did they win in total?
1 answer:
Answer:
They won £117 in total.
Step-by-step explanation:
There are two methods to solve the question.
- Finding the total amount directly
- Finding Dan's share and adding it to Colin's share
It is given that the ratio is 4:5
Let x be the share of Dan
The ratio between Colin and Dan's share will be 52/x and it should simplify to 4/5
The total amount will be:
Hence,
They won £117 in total.
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The equation are true for x = -2 and x = 2.
The given equations are given as:
We need to select two equations that are true for x = -2 and x = 2.
<h3>What are the solutions to an equation ?</h3>
The solutions of an equation are the values that satisfy the given equation or make the equation true when substituted for unknowns in the equations.
Example:
x - 2 = 2
Here the solution for x - 2 = 2 is 4 because x = 4 will make the equation true.
4 - 2 = 2
2 = 2
Let's find the solutions for each equation.
1.
= 4
x = = ± 2
x = = 2 and x = -2
2.
x =
x = =
x = ± 2
x = 2i and x = -2i where i =
3.
3 + 12 = 0
= -12 / 3 = -4
x =
x = ± 2
x = 2i and x = -2i
4.
4 = 16
= 16 / 4
= 4
x =
x = ±2
x = 2 and x = -2
5.
x - 2 = 0
x = 2.
Thus the equation have solutions x = -2 and x = 2.
Learn more about solutions of equations here:
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