I'll solve each equation step by step, working through the proportions carefully.
Let me work through all 8 equations:
Equation 1: 2/7 = x/15
Cross multiply: 2 × 15 = 7 × x
30 = 7x
x = 30/7
x = 4 2/7 (mixed number)
Equation 2: 2/p = 9/4
Cross multiply: 2 × 4 = 9 × p
8 = 9p
p = 8/9
Equation 3: 1/p = 6/16
First simplify 6/16 = 3/8
So: 1/p = 3/8
Cross multiply: 1 × 8 = 3 × p
8 = 3p
p = 8/3
p = 2 2/3 (mixed number)
Equation 4: 2/5 = 1/n
Cross multiply: 2 × n = 5 × 1
2n = 5
n = 5/2
n = 2 1/2 (mixed number)
Equation 5: y/8 = 1/28
Cross multiply: y × 28 = 8 × 1
28y = 8
y = 8/28
Simplify: y = 2/7
Equation 6: 20/9 = 8/c
Cross multiply: 20 × c = 9 × 8
20c = 72
c = 72/20
Simplify: c = 18/5
c = 3 3/5 (mixed number)
Equation 7: 1/7 = k/13
Cross multiply: 1 × 13 = 7 × k
13 = 7k
k = 13/7
k = 1 6/7 (mixed number)
Equation 8: 5/k = 9/10
Cross multiply: 5 × 10 = 9 × k
50 = 9k
k = 50/9
k = 5 5/9 (mixed number)
Let me verify my calculations:
Parent Tip: Review the logic above to help your child master the concept of writing and solving proportions worksheet.
