AMC 8 2020

Luka is making lemonade to sell at a school fundraiser. His recipe requires $4$ times as much water as sugar and twice as much sugar as lemon juice. He uses $3$ cups of lemon juice. How many cups of water does he need? $\textbf{(A)}\ 6 \textbf{(B)}\ 8 \textbf{(C)}\ 12 \textbf{(D)}\ 18 \textbf{(E)}\ 24$

Carrie has a rectangular garden that measures $6$ feet by $8$ feet. She plants the entire garden with strawberry plants. Carrie is able to plant $4$ strawberry plants per square foot, and she harvests an average of $10$ strawberries per plant. How many strawberries can she expect to harvest? $\textbf{(A)}\ 560 \textbf{(B)}\ 960 \textbf{(C)}\ 1120 \textbf{(D)}\ 1920 \textbf{(E)}\ 3840$

Three hexagons of increasing size are shown below. Suppose the dot pattern continues so that each successive hexagon contains one more band of dots. How many dots are in the next hexagon?

$\textbf{(A)}\ 35 \textbf{(B)}\ 37 \textbf{(C)}\ 39 \textbf{(D)}\ 43 \textbf{(E)}\ 49$