Question

TOPIC: Forming and Solving Equations (An equation must be included as well please)

Answer 1

1) let both have x ,
so putting in eqn ;

4x+0.50 = 9x-3
5x=2.50
x=0.50

therefore both have 50 p in the beginning !!

2) let the number be x

so in eqn;

(x+18)/2=5x
x+18=10x
9x=18
x=2

so the number must be 2 !!


if you have still any problem, comment !!

Answer 2

Answer:

Question 1= 70p; Question 2=2

Step-by-step explanation:

Question 1) Since Tom and Ellie have equal amount, let the amount be X (in Penny)

Tom multiplied his amount by 4= 4X, he then adds 50p = 4X + 50

Ellie multiplied hers by 9= 9X, she then subtracts €3, since we are working with Penny, we have to convert €3 to Penny, which is 300p. We have 9X - 300

Since the resulting amounts of Tom and Ellie are equal, we can say

4X + 50 = 9X - 300

We then collect like terms by moving like terms in opposite direction of the equation to have,

9X - 4X = 300 + 50

5X = 350

We divide both sides by the coefficient of X, which is 5

X = 70

Hence, the amount Tom and Ellie started with is 70p.

Question 2) Let the number Alex thinks of be X

He adds 18 = X + 18

He divides the result by 2= X + 18 / 2

Since he would have gotten the same answer if he multiplied X by 5, which is 5X

We can say, X+18/2 = 5X

We then cross multiply, 2 cross multiplies 5X to give 10X while 1 cross multiplies X + 18 to give X+18

We then have, X+18=10X

We collect like terms by moving X to the opposite side of the equation

We then have 18=10X-X

18=9X

Divide both sides by the coefficient of X, which is 9

X=2

Therefore, the number Alex thinks of is 2