What have you learned about dividing decimal
2 answers:
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Answer:
The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.66
Step-by-step explanation:
Let us assume the cost of 1 pound salmon = $ m
So the cost of 1 pound of 1 pound swordfish cat = $ ( m - 0.20)
Now, the Amount of salmon purchased = 2 1/2 pounds
So, the amount of salmon purchased = 2.5 pounds
Cost of buying 2.5 pounds = 2.5 x ( 1 pound cost)
= 2.5 ( m) = $ 2.5 m ...... (1)
Also, the Amount of swordfish purchased = 1 1/4 pounds
So, the amount of swordfish purchased = 1.25 pounds
Cost of buying 1.25 pounds = 1.25 x ( 1 pound cost of swordfish)
= 1.25 ( m - 0.20) = $ 1.25 m - 0.25 .... (2)
Now, the combined cost paid = $ 31.25
⇒Cost of buying (2.5 pounds salmon + 1.25 pounds swordfish) = $ 31.25
or, 2.5 m + 1.25 m - 0.25 = 31.35 (from (1) and (2))
or, 3.75 m = 31.60
or, m = 31.60/3.75 = 8.43
⇒ m = $8.43
So, the cost of 1 pound salmon = m = $8.43
and the cost of 1 pound swordfish = m - 0.20 = $8.43 - 0.20 = $ 8.23
Hence, the combined cost 1 pound of salmon and 1 pound of swordfish = $8.43 + $ 8.23 = $ 16.66
Answer:
(x, y) = (1, -1)
Step-by-step explanation:
We'll write these equations in general form, then solve using the cross-multiplication method.
43x +67y +24 = 0
67x +43y -24 = 0
∆1 = (43)(43) -(67)(67) = -2640
∆2 = (67)(-24) -(43)(24) = -2640
∆3 = (24)(67) -(-24)(43) = 2640
These go into the relations ...
1/∆1 = x/∆2 = y/∆3
x = ∆2/∆1 = -2640/-2640 = 1
y = ∆3/∆1 = 2640/-2640 = -1
The solution is (x, y) = (1, -1).
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<em>Additional comment</em>
The cross multiplication method isn't taught everywhere. The attachment explains a bit about it. Our final relationship changes the order of the fractions to 1, x, y from x, y, 1. That way, we can use the equation coefficients in their original general-form order. (The fourth column in the 2×4 array of coefficients is a repeat of the first column.)
