Question

Nicola wants to buy 30litres of White paint. he sees this special offer,

10 litre tin
usual price £38
15% discount. she has a budget of £100 for the paint. does she have enough money to buy 30 litres of paint​

Answer 1

Nicola does have enough money to buy 30 liters of white paint.

Step-by-step explanation:

To determine if Nicola has enough money to buy 30 liters of paint, we need to calculate the cost of the paint she wants to purchase after the discount.

The usual price for a 10-litre tin of paint is £38. With a 15% discount, the cost will be reduced by 15% of £38, which is £5.70. The discounted price of a 10-litre tin of paint will be £32.30.

Since Nicola wants to buy 30 liters of paint, she will need 3 tins of paint, for a total cost of 3 x £32.30 = £96.90. Since her budget is £100, she does have enough money to buy 30 liters of white paint.

Answer 2

Yes she can, as cost of 30L is 96.9 which is less then her budget.

Step-by-step explanation:

Let us first analyze the information given in the question:

→ 10 Litre Paint Costs 38£

→ Budget is 100£

→ Discount of 15%

We also know that Nicola wants to buy 30 Litres of Paint. Where 30 Litres would be the equivalent of:

`PAINT_(TOT)=10L+10L+10L=3*10L=30L`

To give a required total of 30Litres. Since we know the cost for 10L we similarly know that:

`COST_(30L) = 38+38+38=3*38=114`

So buying 30L of White Paint costs 114£ which is more than our current budget of 100£.

However we also have a 15% discount for every 10Litre, which can be applied either on each 10L purchase or on our total purchase since here we have three purchases of the same Paint amount.

A discount of 15% can be written us

`(15)/(100)=0.15`

which is then multiplied by the original cost giving some value, which value is then subtracted from the original cost, to give us the Final Cost after the discount as follow:

`114-(114*0.15)=114-17.1=96.9`

So we can see that with the discount 30L of White paint will cost us 96.9£ which is under our 100£ budget, thus Nicola can buy the desired amount and will also have 3.1£ left.