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


PLEASE INCLUDE ALL WORKING OUT!


1)Tom and Ellie both have the same amount of money to begin with. Tom multiplies his by 4 and adds up 50p. Ellie multiplies hers by 9 and subtracts £3. They end up with the same amount of money. Calculate the amount of money they started with.


2) Alex thinks of a number.He adds 18 then divides it by 2. He gets the same answer that he would have if he had multiplies the original number by 5. calculate the mystery number.

Verified Answer :

yashddsy26

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 !!

samueladesida43

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

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