An algebra problem by Syed Baqir

Algebra Level 2

Peter makes a large amount of pink paint by mixing red and white paint in the ratio 2:3. Red paint costs £40 per 5 litres. White paint costs £5 per 10 litres. Peter sells his pink paint in 10-litre tins for £60 per tin. Calculate how much proﬁt he makes for each tin he sells.

30 15 27 25 6

1 solution

Denton Young
Sep 8, 2015

Each 10-litre tin of pink paint contains 4 litres of red paint (cost: 40 * 4/5 = 32) and 6 litres of white paint: (cost: 5 * 6/10 = 3), so the total cost is 32 + 3 = 35. Profit on each tin is therefore 60 - 35 = 25.

Moderator note:

Simple standard approach using ratios.

Can you add some more lines: I mean ::

40 * $\frac{4}{5}$ = 32

where: 40 = Price or Red Paint,

BUT $\frac{4}{5}$ = ??

Syed Baqir - 5 years, 9 months ago

If the price is 40 for 5 gallons of red paint, then for 4 gallons it is 4/5 that amount.

Denton Young - 5 years, 9 months ago

Yes, The main thing is to add some lines so it can help every one because few people dont know how to analyse 2:3

Syed Baqir - 5 years, 9 months ago

@Syed Baqir – Here's another way to look at it. If the ratio of red to white is 2 to 3, then let's have Peter make up 50 litres of pink paint. He will use 20 litres of red (at 40 for 5 litres, that's 160) and 30 litres of white (at 5 for 10 litres, cost is 15) for a total cost of 175. He will sell it at 60 for 10 litres, so for 50 litres that's 300. Total profit = 300 - 175 = 125 for 50 litres of pink. So for 10 litres of pink profit is 125/5 = 25.

Denton Young - 5 years, 9 months ago

@Denton Young – Nice, Great Explanation .

Syed Baqir - 5 years, 9 months ago

An algebra problem by Syed Baqir

1 solution

Moderator note:

BUT 4 5 \frac{4}{5} 5 4 ​ = ??

0 pending reports

BUT $\frac{4}{5}$ = ??