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# Sara bought both German chocolate and Swiss chocolate for some cakes

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SVP
Joined: 26 Mar 2013
Posts: 2347
Sara bought both German chocolate and Swiss chocolate for some cakes  [#permalink]

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05 Sep 2016, 16:56
3
7
00:00

Difficulty:

45% (medium)

Question Stats:

74% (02:13) correct 26% (02:23) wrong based on 130 sessions

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Sara bought both German chocolate and Swiss chocolate for some cakes she was baking. The Swiss chocolate cost \$3.5 per pound, and German chocolate cost \$2.5 per pound. if the total the she spent on chocolate was \$35 and both types of chocolate were purchased in whole number of pounds, how many total pounds of chocolate she purchased?

A. 7
B. 8
C. 10
D. 12
E. 15
Math Expert
Joined: 02 Aug 2009
Posts: 7959
Re: Sara bought both German chocolate and Swiss chocolate for some cakes  [#permalink]

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05 Sep 2016, 17:12
6
1
Mo2men wrote:
Sara bought both German chocolate and Swiss chocolate for some cakes she was baking. The Swiss chocolate cost \$3.5 per pound, and German chocolate cost \$2.5 per pound. if the total the she spent on chocolate was \$35 and both types of chocolate were purchased in whole number of pounds, how many total pounds of chocolate she purchased?

A. 7
B. 8
C. 10
D. 12
E. 15

Hi,

Two ways....
1) the choices give away the answer...
If there were all the expensive ones,3.5....
There would be 35/3.5 or 10 of them but since 2.5\$ ones are also there, answer has to be >10....
ONLY D and E are left....

If all were 2.5\$ ones, there will be 35/2.5 or 14...
So ONLY 12 is left

Ans D..

2) equation
Let there be x of 2.5 and y of 3.5..2.5x + 3.5y =35....
Or 5x + 7y = 70.......
Clearly x has to be a multiple of 7 as other two terms are multiple of 7... similarly with y as 5..
So x =7 & y= 5...
Total 5+7=12
D
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Posts: 13210
Re: Sara bought both German chocolate and Swiss chocolate for some cakes  [#permalink]

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04 Nov 2018, 22:25
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Re: Sara bought both German chocolate and Swiss chocolate for some cakes   [#permalink] 04 Nov 2018, 22:25
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