There are a total of 50 apples and pears (apples + pears) in a large basket. If the total number of apples was doubled and the total number of pears was tripled, these two numbers would add up to 130. How many apples and pears are in the basket?

Solve this simultaneously.

Where a= apples and p= pears,

a+p=50 and 2a+3p=130

Multiply a+p=50 by 2 on both sides to get:

2a+2p=100

Then subtract the two equations from each other:

2a+3p=130

2a+2p=100

---------------     -->  2a-2a=0 ; 3p-2p=p ; 130-100=30

0+p=30

So p=30 (number of pears)

Which means that a is:

a+p=50 , where p=30

a+30=50

a=50-30=20 (number of apples)

CB
Answered by Christopher B. Maths tutor

3115 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equation: 3x+2y=8, 2x+5y=-2?


Expand (x+2)(x-3)(x+4)^2


A rectangle has an area of 20cm^2. Its length and width are enlarged by a factor of 3. Find the area of the enlarged rectangle.


A teacher is chosen at random. The probability that the teacher is female is 3/5. There are 36 male teachers. How many teachers in total work at the school?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences