The Patel, Lopez, and Russo families all had parties recently. There were 152 adults at the Lopez party. The ratio of...

This topic has expert replies
Moderator
Posts: 2505
Joined: Sun Oct 15, 2017 1:50 pm
Followed by:6 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Source: Manhattan Prep

The Patel, Lopez, and Russo families all had parties recently. There were 152 adults at the Lopez party. The ratio of adults to children at the Russo party was 5 to 4. What was the ratio of adults to children at the Patel party?

1) The Russo party had 31 more adults than children, and 47 more adults than did the Patel party.

2) The Patel party had 40 more children, though 4 fewer people in total, than did the Lopez party, where the ratio of adults to children was 8 to 5.

The OA is B
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

BTGmoderatorLU wrote:
Fri Jun 19, 2020 5:13 am
Source: Manhattan Prep

The Patel, Lopez, and Russo families all had parties recently. There were 152 adults at the Lopez party. The ratio of adults to children at the Russo party was 5 to 4. What was the ratio of adults to children at the Patel party?

1) The Russo party had 31 more adults than children, and 47 more adults than did the Patel party.

2) The Patel party had 40 more children, though 4 fewer people in total, than did the Lopez party, where the ratio of adults to children was 8 to 5.

The OA is B
Given:

Lopez party: Adults = 152 and children = ?;

Russo party: Adults = 5x and children = 4x => Total = 9x

Patel party: Adults = Say A and children = Say C

We have to get the value of A : C.

Let's take each statement one by one.

1) The Russo party had 31 more adults than children and 47 more adults than did the Patel party.

=> 5x – 4x = x = 31 => # of adults in Russo party = 5x = 5*31 = 155

=> # of adults in Patel party = A = 155 – 47 = 108.

But we do not know the value of C, so we cannot get the value of A : C. Insufficient.

2) The Patel party had 40 more children, though 4 fewer people in total, than did the Lopez party, where the ratio of adults to children was 8 to 5.

Say in Lopez party, the no. of adults and that of children were 8x and 5x.

=> 8x = 152 => x = 19
=> No. of children in Lopez party = 5x = 5*19 = 95

Total no. of people in Lopez party = 152 + 95 = 247

=> Total no. of people in Patel party = 247 – 4 = 243
=> Total no. of children in Patel party = 95 + 40 = 135
=> Total no. of adults in Patel party = 243 – 135 = 108

=> required ratio = 108 : 135. Sufficient.

Correct answer: B

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: Manhattan GMAT | GRE Practice Questions | LSAT Practice Test | SAT Info | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.