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Richard packed some marbles into 12 small packets and 20 large packets.
Each large packet contained 8 more marbles than each small packet. 1/4 of the

total number of marbles was packed into small packets.

(a)    How many marbles did Richard pack into large packets?

(b)    How many marbles did Richard have?

 Sep 20, 2021
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Number in each small packet==S

Number in each large packet==L

 

L ==S  +  8

12S + 20[S +8] ==32S + 160 - total of all marbles.

 

1/4 * [32S + 160] =12S, solve for S

S ==10 - number of marbles in each small packet

L ==10 +  8==18 - number of marbles in each large packet.

 

(a)  18 marbles  x   20 large packets ==360 marbles.

 

(b) 360  + [10 * 12]==360  +  120 ==480 marbles altogether.

 Sep 23, 2021

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