Long math problem………?
a. Let A be the number of angelfish and s be the number of swordtails. In terms of a and s, how many tetras did you buy?
b. Write and simplify an expression in terms of a and s for the total cost of your fish.
c. Of the 20 fish you buy 4 are angelfish and 10 are swordtails. Use your expression from part(b) to find your total cost.
Favorite Answer
Given: There will be 20 total angelfish, swordtails, and tetras.
a+s+t=20
Subtract {a}, {s} from each side.
t = 20-a-s
b) Given {problem a}, find total cost in dollars {C} when angelfish are $5, swordtails are $2, and tetra are $3.
C = 5a + 2s + 3t
Substitue given value of {t}.
C = 5a + 2s + 3(20-a-s)
Distributive property of multiplication & Defintion of subtraction
C = 5a + 2s + 60 + -3a + -3s
Associative Property of addition
C = 60 + (5a + -3a) + (2s-3s)
Combine like terms
C = 60 + 2a – s
C) Given {problem B} and a=4, s=10
C= 60 + (2*4) – 10
C = 60 + 8 – 10
C = $58
Check answer using a different method:
4@$5 + 10@$2, And the remainder of the 20 (6)@ $3.
20 + 20 + 18 = $58 Answer is correct.
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