Mixed Ratio Problems - 7:1 - 7th Grade Mixed Ratio Problems

Oct 22, 2026

Practice problems on mixed ratios for 7th grade, focusing on setting up ratio relationships and scaling them to solve real-life contexts. Scenarios include smoothie ingredients, ordering school club T-shirts by color totals, trail mix ingredient scoops, bedroom scale drawings, lemonade recipes with fractional ratios, and movie snack quantities. An answer section shows step-by-step proportional scaling to find the required amounts, such as banana cups, shirt counts, chocolate chip scoops, drawing lengths, lemon juice, and nachos packs.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Mixed Ratio Problems - 7:1

Problem Set

Answer Key

MIXED RATIO PROBLEMS 7:1 | 1. | Smoothie Mix
A smoothie recipe uses a ratio of 3:2 for strawberries to bananas. If a café uses 18 cups of strawberries, how many cups of bananas should they use?
| | | | | | --- | --- | --- | --- | --- | --- | | 2. | School Club T-Shirts
A school club orders T-shirts in a ratio of 5: 3 for blue to red shirts.
If they order 64 shirts total, how many of each color do they buy? | | | | | | 3. | Trail Mix
A bag of trail mix contains peanuts, raisins, and chocolate chips in the ratio 4: 3: 2.
If the bag contains 27 scoops of ingredients, how many scoops are chocolate chips? | | | | | | 4. | Bedroom Layout
A scale drawing of a bedroom uses a scale of 1 cm: 0.5 m.
If the actual bed is 2 m long, how long should it be on the drawing?
| | | | | | 5. | Lemonade Stand
A lemonade recipe uses 4 cups of water for every 1 cup of lemon juice.
If Mia wants to make 35 cups of lemonade, how much lemon juice does she need? | | | | | | 6) | Movie Snacks
At a movie theater, the ratio of popcorn sold to nachos sold is 7: 4.
If 112 packs of popcorn were sold in total, how many packs of nachos were sold?
| | | | | MIXED RATIO PROBLEMS 7:1 ANSWERS | 1. Smoothie Mix
A smoothie recipe uses a ratio of 3:2 for strawberries to bananas. If a café uses 18 cups of strawberries, how many cups of bananas should they use?
| | | 3 strawberries : 2 bananas
→multiply by 6
18 strawberries : 12 bananas You need 12 cups of bananas | | --- | --- | --- | --- | | 2. School Club T-Shirts
A school club orders T-shirts in a ratio of 5: 3 for blue to red shirts. If they order 64 shirts total, how many of each color do they buy? | | | 5 blue : 3 red
Total = 5 + 3 = 8 T-shirts 64 ÷ 8 = 8 so multiply by 8
5 x 8 = 40 blue T-shirts
3 x 8 = 24 red T-shirts | | 3. Trail Mix
A bag of trail mix contains peanuts, raisins, and chocolate chips in the ratio 4: 3: 2.
If the bag contains 27 scoops of ingredients, how many scoops are chocolate chips?
| | | 4 peanuts : 3 raisins : 2 choc Total = 4+3+2 = 9
27 ÷ 9 = 3 so multiply by 3
12 peanuts : 9 raisins : 6 choc Answer: 6 scoops of chocolate chips | | 4. Bedroom Layout
A scale drawing of a bedroom uses a scale of 1 cm: 0.5 m.
If the actual bed is 2 m long, how long should it be on the drawing?
| | | 1 cm : 0.5 m We need to find ? : 2 m
2 m ÷ 0.5 m = 4
→ multiply by 4
4 cm : 2 m
The bed drawing is 4cm long. | | 5. Lemonade Stand
A lemonade recipe uses 4 cups of water for every 1 ½ cups of lemon juice.
If Mia wants to make 33 cups of lemonade, how much lemon juice does she need? | | | 4 water : 1 ½ lemon
→ multiply by 2
8 water : 3 lemon Total = 8+3=11
33 ÷ 11 = 3 so multiply by 3
3 lemon x 3 = 9 lemon Answer: 9 cups of lemon juice | | 6) Movie Snacks
At a movie theater, the ratio of popcorn sold to nachos sold is 7: 4.
If 112 packs of popcorn were sold in total, how many packs of nachos were sold?
| | | 7 popcorn : 4 nachos
112 ÷ 7 = 16
→ multiply by 16
4 x 16 = 64
Answer 64 packs of nachos |

FAQs

How do you solve a mixed ratio problem when given a total amount?

Add the ratio parts to get the total number of equal ratio units, then divide the given total by that sum to find the multiplier. Multiply each ratio part by the multiplier to get each quantity.

What should you do when the ratio includes fractional amounts (like 1 1/2)?

Convert the fraction to an equivalent whole-number scaling by multiplying both sides of the ratio to remove denominators. Then use the same proportional method to scale to the required total.

How do you handle ratios in scale drawings (like 1 cm to 0.5 m)?

Use the scale ratio to convert the real length into drawing length. Divide the real measurement by the real-side scale value, then multiply by the drawing-side value to obtain the length on the drawing.

Oct 22, 2026

Uploaded by anakgang17