Let’s solve each problem one by one, step by step.
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Problem 1a:
A truck is carrying pear juice, cherry juice, and apple juice bottles in a ratio of
3 : 1 : 3.
There are
16 cherry juice bottles. We need to find the
total number of juice bottles.
Step 1: Understand the ratio.
The ratio 3 : 1 : 3 means:
- For every
1 part of cherry juice, there are
3 parts of pear juice and
3 parts of apple juice.
Step 2: Since cherry juice = 1 part = 16 bottles, then:
- Pear juice = 3 parts = 3 × 16 =
48 bottles
- Apple juice = 3 parts = 3 × 16 =
48 bottles
Step 3: Add them all up:
Total = pear + cherry + apple = 48 + 16 + 48 =
112 bottles
✔ Check: Ratio 48:16:48 simplifies to 3:1:3 → correct.
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Problem 2a:
Ratio of girls to boys =
5 : 4
Number of boys =
32
We need to find how many
girls there are.
Step 1: The “boys” part of the ratio is 4. That equals 32 students.
So, 1 part = 32 ÷ 4 =
8
Step 2: Girls are 5 parts → 5 × 8 =
40 girls
✔ Check: 40 girls : 32 boys = divide both by 8 → 5:4 → correct.
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Problem 3a:
Jayden and Isabella share $40 in a ratio of
2 : 3
We need to find how much
Jayden gets.
Step 1: Total parts = 2 + 3 =
5 parts
Step 2: Each part = $40 ÷ 5 =
$8
Step 3: Jayden gets 2 parts → 2 × $8 =
$16
✔ Check: Isabella gets 3 × $8 = $24 → $16 + $24 = $40 → correct.
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Problem 4a:
Truck carries grape, passion fruit, and pear juice in ratio
2 : 1 : 2
Grape juice =
20 bottles
Find how many
passion fruit bottles.
Step 1: Grape juice is 2 parts = 20 bottles → so 1 part = 20 ÷ 2 =
10
Step 2: Passion fruit is 1 part → so
10 bottles
✔ Check: Pear juice would also be 2 parts = 20 → total = 20+10+20=50 → ratio 20:10:20 = 2:1:2 → correct.
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Final Answer:
1a. 112
2a. 40
3a. $16
4a. 10
Parent Tip: Review the logic above to help your child master the concept of math problem solving worksheet.
