Answer:
£159
Step-by-step explanation:
Charles buys 30 packs of pens.
There are 15 pens in each pack.
Each pack costs £2.80.
Charles sells each pen for 90p but he only manages to sell 3/5 of the pens.
How much profit did he make?
Step 1
Charles buys 30 packs of pens.
There are 15 pens in each pack.
The total number of pens in the pack is
30 packs × 15 pens
= 450 pens
Each pack costs £2.80
Hence:
1 pack = £2.80
30 packs = x
Cross Multiply
x = 30 × £2.80
x = £84
Step 2
The total number of pens in the pack is
30 packs × 15 pens
= 450 pens
He only manages to sell 3/5 of the pens
The amount of pens Charlie sells =
3/5 × 450 pens
= 270 pens
Charles sells each pen for 90p
100p = £1
90p = x
Cross Multiply
100 × x = 90 × £1
x = 90/100
x = £0.9
The amount he sells each pen =
1 pen = £0.9
270 pens = x
Cross Multiply
x = 270 pens × £0.9
x = £243
Step 3
The profit that he made is calculated as:
£243 - £84
= £159
Answer:
the distance between the penguins and the fish tanks is 81 ft
Step-by-step explanation:
Let A is the point of whales
Let B is the point of Sharks
Let D is the point of Dophines
Let P is the point of penguins
Let F is the point of Fish tank
From a look at the photo, we can find some special properties that:
AB//PF
In triangle ABD and DPF we have
- ∠BAD=∠PFD(Alternate angles)
- ∠ADB=∠PDF(Vertically opposite angles)
By AA rule, ABD and DPF are similar to each other
Therefore, using the similarity property, we have:
= 
So the distance between the penguins and the fish tanks is 81 ft
x+47=-23
move +47 to the other side to get x by itself
sign changes from +47 to -47
x+47-47=-23-47
x=-23-47
x=-70
answer: x=-70
