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Answer :
Answer:
type B 50 pounds
type A 94 pounds
Explanation:
First we construct the equation system:
[tex]\left \{ {{A_q + B_q = 144} \atop {4.75A_q + 5.9B_q = 741.5}} \right. \\[/tex]
Now we clear one and replace:
[tex]A_q = 144 - B_q\\4.75A_q + 5.9B_q = 741.5\\4.75(144 - B_q) + 5.9B_q = 741.5[/tex]
And we can solve for type B:
[tex]4.75\times 144 - 4.75B_q + 5.9B_q = 741.5\\1.15B_q = 741.5 - 684\\B_q = 57.5 / 1.15 = 50[/tex]
And now we can solve for quantity of A as well:
A = 144 - 50 = 94
Finally we can check the answer if it is correct:
50 x 5.9 + 94 X 4.75 =
295 + 446,5 = 741,5
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