Question

nan has 88 flowers to place on 14 tables.
she wants to put the same number of
flowers on each table and have the least
possible number of flowers left over.

1. how many flowers should nan place

on each table?

1. will nan have any flowers left over?

if so, how many? explain.

1. find the volume of the solid below.

Explanation:

Step1: Divide total flowers by tables

$\frac{88}{14} = 6$ with a remainder

Step2: Calculate total used flowers

$14 \times 6 = 84$

Step3: Find leftover flowers

$88 - 84 = 4$

Step4: Split solid into two cuboids

Cuboid 1: $l=5, w=5, h=12$; Cuboid 2: $l=7, w=5, h=6$

Step5: Volume of Cuboid 1

$V_1 = 5 \times 5 \times 12 = 300$ $\text{cm}^3$

Step6: Volume of Cuboid 2

$V_2 = 7 \times 5 \times 6 = 210$ $\text{cm}^3$

Step7: Total volume of solid

$V = V_1 + V_2 = 300 + 210 = 510$ $\text{cm}^3$

Answer:

1. 6 flowers
2. Yes, 4 flowers. When 88 is divided by 14, the largest whole number of flowers per table is 6, and $88 - (14 \times 6) = 4$ flowers left over.
3. $510$ $\text{cm}^3$