Math worksheet using tape diagrams to solve ratio problems.

I will solve the problems in the image step by step. Let's begin by examining the first problem about Zill and Nash scoring soccer goals.

First Problem: Zill and Nash's Soccer Goals

What I can see:
- The ratio of Zill's goals to Nash's goals is 4:3.
- Together, they scored a total of 21 goals.
- There are blank boxes for Zill and Nash to fill in their respective goal counts.

My plan:
To find out how many goals each player scored, I need to use the ratio and the total number of goals. Since the ratio is 4:3, this means for every 4 goals Zill scores, Nash scores 3. The total parts of the ratio are 4 + 3 = 7 parts. I will divide the total goals (21) by 7 to find the value of one part, then multiply by 4 for Zill and by 3 for Nash.

Let me calculate:
- Value of one part = 21 / 7 = 3
- Zill's goals = 4 * 3 = 12
- Nash's goals = 3 * 3 = 9

So, Zill scored 12 goals and Nash scored 9 goals.

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Second Problem: Pink and Blue Shirts

What I can see:
- The ratio of pink shirts to blue shirts that Rhoma has is 3:5.
- Rhoma has 40 pink and blue shirts altogether.
- There are blank boxes for pink and blue shirts to fill in their respective counts.

My plan:
Similar to the first problem, I will use the ratio and the total number of shirts. The ratio is 3:5, so the total parts are 3 + 5 = 8 parts. I will divide the total shirts (40) by 8 to find the value of one part, then multiply by 3 for pink shirts and by 5 for blue shirts.

Let me calculate:
- Value of one part = 40 / 8 = 5
- Pink shirts = 3 * 5 = 15
- Blue shirts = 5 * 5 = 25

So, Rhoma has 15 pink shirts and 25 blue shirts.

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Third Problem: Daisy's Chocolate Candies

What I can see:
- Daisy has a mix of 88 chocolate candies.
- The ratio of dark chocolate to milk chocolate to white chocolate is 4:6:1.
- There are blank boxes for dark, milk, and white chocolates to fill in their respective counts.

My plan:
I will use the ratio and the total number of candies. The ratio is 4:6:1, so the total parts are 4 + 6 + 1 = 11 parts. I will divide the total candies (88) by 11 to find the value of one part, then multiply by 4 for dark chocolate, by 6 for milk chocolate, and by 1 for white chocolate.

Let me calculate:
- Value of one part = 88 / 11 = 8
- Dark chocolate = 4 * 8 = 32
- Milk chocolate = 6 * 8 = 48
- White chocolate = 1 * 8 = 8

So, Daisy has 32 dark chocolates, 48 milk chocolates, and 8 white chocolates.

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Fourth Problem: Boys and Girls in Mrs. Lewis's Math Class

What I can see:
- The ratio of boys to girls in Mrs. Lewis's math class is 2:3.
- There are 25 students in total.
- There are blank boxes for boys and girls to fill in their respective counts.

My plan:
I will use the ratio and the total number of students. The ratio is 2:3, so the total parts are 2 + 3 = 5 parts. I will divide the total students (25) by 5 to find the value of one part, then multiply by 2 for boys and by 3 for girls.

Let me calculate:
- Value of one part = 25 / 5 = 5
- Boys = 2 * 5 = 10
- Girls = 3 * 5 = 15

So, there are 10 boys and 15 girls in Mrs. Lewis's math class.

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Final Answers:

1. Zill and Nash's Soccer Goals:
- Zill scored 12 goals.
- Nash scored 9 goals.

2. Rhoma's Shirts:
- Pink shirts: 15
- Blue shirts: 25

3. Daisy's Chocolate Candies:
- Dark chocolate: 32
- Milk chocolate: 48
- White chocolate: 8

4. Mrs. Lewis's Math Class:
- Boys: 10
- Girls: 15

These answers are derived from applying the given ratios to the total quantities provided in each problem.