Aquaman

Aquaman Kebule shopped at Captain Nemo's fishmonger, where the prices of all goods were listed in whole scales. If Kebule bought 2 crayfish, 3 clams, and 1 pike, he would pay 49 scales. If he bought 5 more crayfish, 11 clams, and 1 pike, he would pay a total of 154 scales. How many scales would he pay for 1 crayfish, 2 clams, and 3 pike?

Final Answer:

x1 =  79
x2 =  60

Step-by-step explanation:

2a+3b+1c=49 49 + 5a+11b+1c=154  a1=8;b1=4;c1=21 a2=16;b2=1;c2=14  x1=1 a1+2 b1+3 c1=1 8+2 4+3 21=79
x2=1 a2+2 b2+3 c2=1 16+2 1+3 14=60   Verifying Solution:  w1=2 a1+3 b1+1 c1=2 8+3 4+1 21=49 w2=2 a2+3 b2+1 c2=2 16+3 1+1 14=49 w3=49+5 a1+11 b1+1 c1=49+5 8+11 4+1 21=154 w4=49+5 a2+11 b2+1 c2=49+5 16+11 1+1 14=154



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