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

Redeem

At ABC Hardware the total cost of 1 paintbrush and 2 rolls of tape is $6.25. What is the price of one roll of tape?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2276
Joined: Sat Oct 14, 2017 6:10 am
Followed by:3 members

At ABC Hardware the total cost of 1 paintbrush and 2 rolls of tape is $6.25. What is the price of one roll of tape?

by VJesus12 » Wed Oct 07, 2020 7:10 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

At ABC Hardware the total cost of 1 paintbrush and 2 rolls of tape is $6.25. What is the price of one roll of tape?

(1) The price of one paintbrush is three times the price of one roll of tape.

(2) The total cost of 6 rolls of tape and 3 paintbrushes is $18.75.

Answer: A

Source: Magoosh
Top
Source: — Data Sufficiency |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

Re: At ABC Hardware the total cost of 1 paintbrush and 2 rolls of tape is $6.25. What is the price of one roll of tape?

by deloitte247 » Sun Oct 11, 2020 12:01 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Let price of a paint brush = p
Let the roll of tape = t
$$1p+2t=6.25dollar$$
What is the price of one roll tape?

Statement 1
The price of one paintbrush is three times the price of the roll of the tape.
1p = 3t
Therefore, from the question stem,
$$1p+2t=6.25dollar$$
where 1p = 3t Hence,
3t+2t = 6.25
5t = 6.25

$$t=\frac{6.25}{5}=1.25\ dollar\ $$ $$statement 1\ is\ SUFFICIENT.$$

Statement 2
The total cost of 6 rolls of tape and 3 paint brushes is 18.75 dollars
from question stem,
$$1p+2t=6.25\ \ and\ p=6.25-2t$$
substituting this,
$$6t+3\left(6.25-3t\right)=18.75$$ $$6t+18.75-6t=18.75$$ $$6t-6t=18.75-18.75$$ $$0=0$$
The equation gotten from this statement is the same as the one gotten from question stem and this cannot be used to evaluate t hence statement 2 is NOT SUFFICIENT.

Since Only Statement 1 is SUFFICIENT.

$$\ Option\ A\ is\ correct$$
Top
Post new topic Post Reply
• Page 1 of 1