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2 years ago

8

Perfume is sold in two different sizes of bottle. The 80ml bottle is priced at £55. The 50ml bottle is usually priced at £45, bu

t is on special offer. If you buy one 50ml bottle of perfume you can get a second for half price.
By calculating the price per ml determine which offers the best value for money the 80ml or two 50ml bottles ? You must show your working .

1 answer:

Nadya [2.5K]2 years ago

8 0

1ml of 80ml bottle: 55/80 = 0.6875 pence

1ml of 50ml bottle: 45/50 = 0.9 pence

If no special offer the first bottle is a better value for money.

Since special offer though, you'd be buying;

50ml bottle £45 + another 50ml £22.5 = £67.5 in

which case 1ml would cost;

67.5/100 = 0.675 pence. Hence buying 2x50ml

bottle would be a better value.

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Step-by-step explanation:

<h3> The complete exercise is: " A theatre has the capacity to seat people across two levels, the Circle, and the stalls. The ratio of the number of seats in the circle to a number of seats in the stalls is 2:5. Last Friday, the audience occupied all the 528 seats in the circle and $\frac{2}{3}$ of the seats in the stalls. What is the percentage of occupancy of the theatre last Friday?"</h3>

Let be "s" the total number of seats in the Stalls.

The problem says that the ratio of the number of seats in the Circle to the number of seats in the Stalls is $2:5$ .

Since the number of seats that were occupied last Friday was 528 seats, we can set up the following proportion:

$\frac{2}{5}=\frac{528}{s}$

Solving for "s", we get:

$s*\frac{2}{5}=528\\\\s=528*\frac{5}{2}\\\\s=1,320$

So the sum of the number of seats in the Circle and the number of seats in the Stalls, is:

$Total=1,320\ seats+528\ seats=1,848\ seats$

We know that $\frac{2}{3}$ of the seats in the Stalls were occupied. Then, the number of seat in the Stalls that were occupied is:

$(1,320)(\frac{2}{3})=880$

Therefore, the total number of seats that were occupied las Friday is:

$Total\ occupied=880\ seats+528\ seats=1,408\ seats$

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Given that resulting expression is a second order polynomial of the form $x^{2} - a^{2}$ , there are two real and distinct solutions. Roots of the expression are:

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