BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Mixture 2

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 33
Joined: Thu Apr 15, 2010 9:36 pm
Thanked: 1 times

Mixture 2

by shrey2287 » Thu Oct 06, 2011 7:49 am
A kilogram of nut mixture contains X% chestnuts and Y% walnuts and sells for $7.00/kg. If the ratio of chestnuts is increased by 50% so that the new mixture is sold for $8.00/kg, what is the price of a kg of walnuts?

1.00 USD
2.50 USD
5.00 USD
7.50 USD
10.00 USD

OA - C) 5.00 USD

pl explain.
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 504
Joined: Tue Apr 19, 2011 1:40 pm
Thanked: 114 times
Followed by:11 members

by knight247 » Thu Oct 06, 2011 8:13 am
Weight of chestnut = x% of 1 kg
Rate of chestnut = R1
Weight of walnut = y% of 1 kg = (1-x)% of 1 kg
Rate of walnut = R2

X*R1 + (1-X)*R2 = 7 ............................i
(1.5X) R1 + (1 - 1.5X) R2 = 8 ................ii

From 1 and 2:
0.5X*R1 - 0.5X*R2 = 1
X*R1 - X*R2 = 2
X*R1 = 2 + X*R2................................. iii

Substitute the value of XR1 in Equation i:
X*R1 + (1-X)*R2 = 7
2 + X*R2 + R2 - X*R2 = 7
R2 = 7 - 2
R2 = 5.00

Hence C
Top
Post new topic Post Reply
• Page 1 of 1