Question

1. josh ate 6 fewer cherries than gail. gail ate 15 cherries. how many cherries did josh eat? part a draw a picture to model the problem. part b write an equation to solve the problem.

Explanation:

Part A:

To model the problem, we can represent Gail's cherries with 15 symbols (e.g., circles) and then show that Josh has 6 fewer. So we draw 15 circles for Gail, and then draw a group of circles for Josh that is 6 less than 15. For example:

Gail: $\circ\circ\circ\circ\circ\circ\circ\circ\circ\circ\circ\circ\circ\circ\circ$ (15 circles)

Josh: $\circ\circ\circ\circ\circ\circ\circ\circ\circ$ (since 15 - 6 = 9, so 9 circles)

Part B:

Step 1: Define the variables

Let $J$ be the number of cherries Josh ate and $G$ be the number of cherries Gail ate. We know $G = 15$ and Josh ate 6 fewer than Gail, so the relationship is $J = G - 6$.

Step 2: Substitute the value of $G$

Substitute $G = 15$ into the equation: $J = 15 - 6$.

Step 3: Calculate the result

$15 - 6 = 9$.

Answer:

• Part A: (Drawing as described with 15 circles for Gail and 9 for Josh)
• Part B: The equation is $15 - 6 = 9$, and Josh ate 9 cherries.