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# At ABC Hardware the total cost of 1 paintbrush and 2 rolls of tape is

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Math Expert
Joined: 02 Sep 2009
Posts: 50711
At ABC Hardware the total cost of 1 paintbrush and 2 rolls of tape is  [#permalink]

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23 Jul 2018, 02:35
00:00

Difficulty:

35% (medium)

Question Stats:

73% (00:46) correct 27% (00:47) wrong based on 37 sessions

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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.

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Math Expert
Joined: 02 Aug 2009
Posts: 7039
Re: At ABC Hardware the total cost of 1 paintbrush and 2 rolls of tape is  [#permalink]

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23 Jul 2018, 02:47
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?

So 1p+2t=6.25
One linear equation in two variables, one more required to get the values

(1) The price of one paintbrush is three times the price of one roll of tape.
p=3t
Now 2 equation and 2 variables
Sufficient

(2) The total cost of 6 rolls of tape and 3 paintbrushes is \$18.75.
6t+3p=18.75..
Yes another equation but identical to the main equation..
6t+3p=18.75..
Divide the equation by 3..
2t+p=6.25
Same as the main equation
Insufficient

A
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: At ABC Hardware the total cost of 1 paintbrush and 2 rolls of tape is &nbs [#permalink] 23 Jul 2018, 02:47
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