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Taran sold 30 milkshakes while working at Frozen Delights. 70% of the milkshakes were chocolate chip. The rest were chocolate. After Taran sold some more chocolate chip milkshakes, the percentage of chocolate milkshakes decreased to 25%. How many more chocolate chip milkshakes did Taran sell?

 Apr 6, 2021
 #1
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Hint: Find the numbers of original chocolate chip and chocolate milkshakes. Then find the percentages of the numbers.

 Apr 6, 2021
 #2
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30 * .70  =  21  were  chocolate  chip,  9  were  chocolate

 

If the pct of chocolate milkshakes sold  dipped to 25%, then 75%  of the final totla must  be  chocolate chip

 

So

 

Let  x  be  the  nuber  of  additional  chocolate chip milkshakes  sold   and  we  have  that

 

[21  + x]   / [ 30 + x]  =  .75            cross-multiply

 

21 + x  =  .75  [ 30  + x]

 

21 + x  =  22.5 + .75x

 

x - .75x  =  22.5  -21

 

.25x  = 1.5

 

x  = 1.5  / .25  =     6 =   number of additional chocolate chip milkshakes sold

 

 

Proof :  30 +  6 =    36 in total were sold.....9  were chocolate....9 / 36  =  1/ 4  =  25%

 

cool cool cool

 Apr 6, 2021
edited by CPhill  Apr 6, 2021

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