No algebra explain it to a p6 simply

Let's break it down simply.

Part (a)

1. Box A:

   • Ratio of pencils to erasers is $1:5$.
   • Total parts = $1 + 5 = 6$.

2. Box B:

   • Ratio of pencils to erasers is $5:3$.
   • Total parts = $5 + 3 = 8$.

3. Relation between boxes:

   • Box A has 3 times as many items as Box B.
   • Total items in Box A = $3 \times 8 = 24$.

4. Calculate pencils and erasers:

   • Pencils in Box A = $\frac{1}{6} \times 24 = 4$.
   • Erasers in Box A = $\frac{5}{6} \times 24 = 20$.

5. Box B:

   • Pencils in Box B = $\frac{5}{8} \times 8 = 5$.
   • Erasers in Box B = $\frac{3}{8} \times 8 = 3$.

6. Total pencils and erasers:

   • Total pencils = $4 + 5 = 9$.
   • Total erasers = $20 + 3 = 23$.

7. Ratio of pencils to erasers: $\frac{9}{23}$

Answer for (a): $\boxed{\frac{9}{23}}$

Part (b)

1. Given: 30 erasers in Box B.

   • Erasers in Box B = 3 parts.
   • Each part = $\frac{30}{3} = 10$.

2. Find total items in Box A:

   • Total items in Box B = $8 \times 10 = 80$.
   • Total items in Box A = $3 \times 80 = 240$.

Answer for (b): $\boxed{240}$