Please help with this algebra maths question?

Lauren and Faith go shopping for souvenirs. They both start with the same number of euros.
Lauren buys 7 models of the Eiffel Tower and has 4 euros left.
Faith wants to buy 11 models but is short of 2 euros.

How much does each model cost?
How much money do they each have to start with?
And please could you explain how you work this out. Thanks.






Answer :

x = cost of the model
y = inital amount of money

y = 7x + 4 = 11x-2
4x = 6
x = 1.5
y = 7*1.5 + 4 = 14.5

Each model costs 1.5 euros, Lauren and Faith each begin with 14.5 euros






Answer :
7e + 4 = 11e - 2
7e + 6 = 11e
6 = 4e
e = 1.5
Each model costs 14 eurs and 50 cents


They each start with 14 euros and 50 cents
As (7x1.5) + 4 = 14.5
and (11x1.5) - 2 = 14.5

for 18 models in total they will need 27 euros (13 euros 50 cents each), however if they are not sharing mey then they will need 11 x 1.5 = 16 euros 50 cents each. And Lauren will come away with 6 euros change.






Answer :

if you make the models 'x' then the equation to find out how much each model cost is:

7x + 4 = 11x - 2

then simplify this down until you get 'x'

4 = 4x - 2
6 = 4x
x = 1.5

each model cost €1.50

7 x 1.5 = €10.50
€10.50 + €4.00 = €14.50

11 x 1.5 = €16.50
€16.50 - €2.00 = €14.50

they both started with €14.50


11 x 1.5 = €






Answer :

x = cost of model Eiffel tower

7x + 4 = 11x - 2
7x + 4 + 2 = 11x - 2 + 2
7x + 6 = 11x
7x - 7x + 6 = 11x - 7x
6 = 4x
6/4 = 4x/4
3/2 = x
1.5 = x
so, each model costs 1.5 euros

How much money does each have to start?
7*1.5 + 4
= 14.5 euros
or you could also calculate using the other girl....
11*1.5 - 2
= 14.5 euros
(just to show that they would both start with the same amount)






Answer :

let the number of models = x
7x +4 is the value lauren has
11x -2 is the value Faith has

you were told they both started with the same amount of money

7x+ 4 = 11x - 2
7x + 6 = 11x
6 = 4x
x = 6/4 = 1.5euro per model

so, by taking 7x +4 (since it looks the easiest)... 7*(1.5) + 4 = 10.5 +4 = 14.5 euros; the twirps started off with 14.5 euros each

Hope this helps






Answer :
Consider they both start with y Euros and a model of the Eiffel Tower costs x Euros

Then in Faith's case: y = 11x - 2 - equation 1
and in Lauren's case: y = 7x + 4 - equation 2

Subtracting equation 2 from equation 1 gives

0 = 4x - 6

therefore x = 1.5

putting this into equation 2

y = 10.5 + 4
y = 14.5






Answer :

Let's say they each have £x

7n + 4 = x
11n - 2 = x

where n = cost of each model

7n + 4 =11n - 2
4n = 6
n = £1.50

x = 7(1.5) + 4 = £14.50

I hope you understood this.