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I have £300 I want to split between my daughters Megan, Danni and laura in the ratio 3:4:1 respectively. How much money will Danni get?

Firstly, we need to add up how many 'parts' this money is being split into by adding the ratio, 3+4+1 = 8 parts. Now we need to calculate how much one part is equal to by splitting our £300 into the 8 parts....
HM
Answered by Holly M. • Maths tutor
3309 Views

Expand the following quadratic expression: (2x+4)(x-5)

Multiply the first terms in both brackets:2x x= 2x 2 Next multiply the first term of the first bracket and the second term of the second bracket:2x -5= -10x Multiply the second term of the first bracket with...
MP
Answered by Meera P. • Maths tutor
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Jack has 20 sweets. Will also has 20 sweets. Jack gives Will x sweets. Jack then eats 5 of his sweets. Will then eats half of his sweets. Write expressions for the number of sweets Jack and Will now have.

They both start with 20 sweets. To get the total number of sweets that Jack has, you need to take away x because that is the amount that he gives to will. Jack then eats 5 of his sweets so you need to take a...
LM
Answered by Lucy M. • Maths tutor
5602 Views

There are 420 balls in a ball pool. There is a combination of violet, blue, yellow and green balls. 2/7 are violet, 35% are blue and the ratio of yellow to green is 4:5. How many of each colour ball is there in the ball pool?

Together, the total number of balls is 420. 2/7 of the total 420 balls are violet. Therefore the number of violet balls can be calculated by the equation 2/7 x 420/1 = 840/7=120. There are 120 violet balls i...
LW
Answered by Lauren W. • Maths tutor
4351 Views

Solve the linear simultaneous equations: 3x + 5y = 45, 2x - 9y = -7

x = 10, y = 3. From the second equation, we have x = (9y - 7)/2. Substituting this expression for x into the first equation gives 3(9y - 7)/2 + 5y = 45. 3(9y - 7) + 10y = 90. 27y - 21 + 10y = 90. 37y = 111. ...
CW
Answered by Cameron W. • Maths tutor
4037 Views