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Systems of Equations Application Word Problems and Systems of Inequalities (8 Problems)

# 41 Nickels and dimes. Windborne has 35 coins consisting of dimes and nickels. If the value of his coins is # 3.30, then how many of each type does he have?

# 43 Blending fudges. The chocolate factory in Vancouver blends its double-dark-chocolate fudge, which is 35% fat, with its peanut butter fudge, which is 25% fat, to obtain double-dark-peanut fudge, which is 29% fat.

A) Use a graph to estimate the number of pounds of each type that must be mixed to obtain 50 pounds of double-dark-peanut fudge.
B) Write a system of equations and solve it algebraically to find the exact amount of each type that should be used to obtain 50 pounds of double-dark-peanut fudge.

# 18 2 x + y < 3
X -- 2y > 2

#25 y > 2x -- 4
Y < 2x + 1

# 28 y < x
Y < 1

# 34 3 xs + 2y < 2
--x -- 2y > 4

#38 y > x
Y < -- x

#39 x + y < 5
x -- Y > -- 1

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