Respuesta :
By solving a linear equation, we conclude that you bought 4 buns and 5 cakes.
How many of each did I buy?
We will define the two variables:
- x = number of buns bought.
- y = number of cakes bought.
We know that you spent exactly £4.35, then we only need to solve the linear equation:
x*0.40 + y*0.55 = 4.35
We need to solve that equation for x and y, such that the values of x and y can only be positive whole numbers.
We can rewrite the equation as:
y*0.55 = 4.35 - x*0.40
y = (4.35 - x*0.40)/0.55
Now we only need to evaluate it in different values of x, and see for which value of x, the outcome y is also a whole number.
We will see that for x = 4, we have:
y = (4.35 - 4*0.40)/0.55 = 5
So you bought 4 buns and 5 cakes.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
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40p + 55p = 95p
435p ÷ 95p = 4.57...
So, the sum of the two pairs can go into £4.35 four times.
That meant if I increase the buns & cakes four times, it will help me get closer to the sum of £4.35 & work out which was extra
(40 x 4 = 160) & (55 x 4 = 220)
160 + 220= 380p or £3.80
Adding them up I get 380 pence & that's 55p short to getting to the sum of 435p or £4.35
(435-380=55p)
Thus, the extra is the cake, meaning you bought 4 buns and 5 cakes.
Hope this helps!