672 views

Dipen and Nisha are planning their wedding reception. Nisha says, “I want to invite 70 guests.” Dipen says, “If we invite one-fifth fewer guests, we will save more than £500” Is Dipen correct? (Taken from Nov 2014 AQA Unit 2)

Need to calculate two things in order to answer the question:

1) Total cost of Nisha's 70 guests.

2) Total cost of Dipen's 'one-fifth fewer' guests.

For Nishen: Total cost = £40 * 70 minus the 5% reduction

= £2800 minus 5%

To work out 5% you divide by 20

2800/20 = 280/2 = 140

£2800 - 140 = £2660

For Dipen:

Work out how many guests is 'one-fifth fewer'

To calcuate a fifth, divide by five.

70/5 = 14

70 - 14 = 56

So Dipen wants to invite 56 people, which doesn't qualify for the 5% reduction.

So his total is £40 * 56

Which we can split into (£40 * 50) + (£40 * 6)

= (2000) + (240)

= 2240

Dipen is right that his number of guests is cheaper, but we need to calculate if it is £500 cheaper.

Nisha's £2660 - Dipen's £2240 = £420

420 < 500 so the answer is No, Dipen is in fact wrong.

1 year ago

Answered by Alex, a GCSE Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist

533 SUBJECT SPECIALISTS

£36 /hr

Timothy N.

Degree: Architecture and Environmental Engineering (Masters) - Nottingham University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Design & Technology
-Personal Statements-

“Hi there, I have a passion for helping students achieve, and believe that with my years of experience tutoring, we will be able to surpass the grades you want!”

£22 /hr

Lucy B.

Degree: Anthropology (Doctorate) - Cambridge University

Subjects offered:Maths, Science+ 5 more

Maths
Science
Drama
Chemistry
Biology
-Personal Statements-
-Oxbridge Preparation-

“Enthusiastic Cambridge grad, with experience in Biology and Maths, passionate about helping students reach their potential and achieve the grades they deserve. ”

MyTutor guarantee

£24 /hr

Roma V.

Degree: Mathematics, Operational Research, Statistics and Economics (Bachelors) - Warwick University

Subjects offered:Maths, Further Mathematics + 1 more

Maths
Further Mathematics
Economics

£18 /hr

Alex N.

Degree: Biomedical Science (Bachelors) - Oxford, St Anne's College University

Subjects offered:Maths, Science+ 4 more

Maths
Science
Chemistry
Biology
-Personal Statements-

MyTutor guarantee

You may also like...

Posts by Alex

Describe the changes at the cell membrane of a neuron during an action potential.

Dipen and Nisha are planning their wedding reception. Nisha says, “I want to invite 70 guests.” Dipen says, “If we invite one-fifth fewer guests, we will save more than £500” Is Dipen correct? (Taken from Nov 2014 AQA Unit 2)

Other GCSE Maths questions

Insert one pair of brackets so that this calculation is correct; 3 x 6 + 5 - 1 = 32

Solve x^​2​ - 10x + 21 = 0 through the following methods: Factorisation, Completing the Square and using the Quadratic Formula

What is meant by 'the degree of a polynomial'?

Simplify √90+√360+5√10

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this.