Question

1. donovan has at most 25 colored blocks in his bag. the number of green blocks is at least 10 more than the number of orange blocks. which statement is not a viable solution to this scenario? you can use the graph to help you. graph of number of green blocks vs number of orange blocks view image description he has 4 orange blocks and 18 green blocks. he has 2 orange blocks and 20 green blocks. he has -1 orange blocks and 16 green blocks. he has 3 orange blocks and 18 green blocks.

Explanation:

Step1: Analyze the constraints

Let \( o \) be the number of orange blocks and \( g \) be the number of green blocks. The constraints are:

1. \( o + g \leq 25 \) (at most 25 colored blocks)
2. \( g \geq o + 10 \) (green blocks at least 10 more than orange)
3. \( o \geq 0 \) (number of blocks can't be negative)

Step2: Check each option

• Option 1: 4 orange, 18 green

Check \( o + g = 4 + 18 = 22 \leq 25 \) and \( 18 \geq 4 + 10 = 14 \). Both hold. Viable.

• Option 2: 2 orange, 20 green

Check \( o + g = 2 + 20 = 22 \leq 25 \) and \( 20 \geq 2 + 10 = 12 \). Both hold. Viable.

• Option 3: -1 orange, 16 green

\( o = -1 \) is invalid (number of blocks can't be negative). Not viable.

• Option 4: 3 orange, 18 green

Check \( o + g = 3 + 18 = 21 \leq 25 \) and \( 18 \geq 3 + 10 = 13 \). Both hold. Viable.

Answer:

He has -1 orange blocks and 16 green blocks.