Question

Maya has 60 caramel apples to sell. Each caramel apple iscovered with one topping.1/3 of the caramel apples are covered with only peanuts. 1/5 are covered with only chocolate chips.• The rest are covered with only sprinkles How many of the caramel apples are covered with onlysprinkles?

Answer 1

Let:

T = total apples

P = apples covered with only peanuts

C = are covered with only chocolate chips

S = apples covered with only sprinkles

$\begin{gathered} S=T-P-C \\ \text{where:} \\ T=60 \\ P=\frac{1}{3}\cdot60=20 \\ C=\frac{1}{5}\cdot60=12 \\ S=60-20-12=28 \end{gathered}$

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Let's evaluate each value:

$\begin{gathered} -\frac{1}{2}x+3\ge5 \\ \text{for x=-6} \\ -\frac{1}{2}(-6)+3=3+3=6>5 \\ \text{This value satisfies the inequality.} \\ \text{for x=-4} \\ -\frac{1}{2}(-4)+3=2+3=5\ge5 \\ \text{This value satisfies the inequality.} \\ \text{for x=-3} \\ -\frac{1}{2}(-3)+3=4.5<5 \\ \text{This value doesn't satisfy the inequality} \\ \text{for x=1} \\ -\frac{1}{2}(1)+3=2.5<5 \\ \text{This value doesn't satisfy the inequality} \\ \text{for x=0} \\ -\frac{1}{2}(0)+3=3<5 \\ \text{This value doesn't satisfy the inequality} \\ \text{for x=2} \\ -1+3=2<5 \\ \text{This value doesn't satisfy the inequality} \end{gathered}$

-6 and -4 only