Identify the number of boys and the fraction of chocolate each boy receives.

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c) How much chocolate would I need if I gave 7 boys each $\frac{3}{4}$ of a bar of chocolate?

Identify the number of boys and the fraction of chocolate each boy receives.
Number of boys $= 7$
Chocolate per boy $= \frac{3}{4}$ bar
Multiply the number of boys by the chocolate per boy to find the total chocolate needed.
$\text{Total chocolate} = 7 \times \frac{3}{4}$ $\text{Total chocolate} = \frac{7 \times 3}{4}$ $\text{Total chocolate} = \frac{21}{4}$ $\text{Total chocolate} = 5\frac{1}{4} \text{ bars}$
The total chocolate needed is \boxed{\text{5\frac{1}{4} bars}}.

d) Sipho eats $\frac{2}{3}$ of a box of delicious sweets and Thandi eats $\frac{1}{4}$ of them. They kept the rest for later. How many sweets were left in the box if there were 48 sweets in the box to start with.
Determine the total number of sweets in the box.
Total sweets $= 48$
Calculate the number of sweets Sipho eats.
Sipho eats $\frac{2}{3}$ of the total sweets.
$\text{Sweets Sipho eats} = \frac{2}{3} \times 48$ $\text{Sweets Sipho eats} = \frac{2 \times 48}{3}$ $\text{Sweets Sipho eats} = \frac{96}{3}$ $\text{Sweets Sipho eats} = 32$
Calculate the number of sweets Thandi eats.
Thandi eats $\frac{1}{4}$ of the total sweets.
$\text{Sweets Thandi eats} = \frac{1}{4} \times 48$ $\text{Sweets Thandi eats} = \frac{48}{4}$ $\text{Sweets Thandi eats} = 12$
Calculate the total number of sweets eaten by Sipho and Thandi.
$\text{Total sweets eaten} = \text{Sweets Sipho eats} + \text{Sweets Thandi eats}$ $\text{Total sweets eaten} = 32 + 12$ $\text{Total sweets eaten} = 44$
Subtract the total sweets eaten from the initial total to find the remaining sweets.
$\text{Sweets left} = \text{Total sweets} - \text{Total sweets eaten}$ $\text{Sweets left} = 48 - 44$ $\text{Sweets left} = 4$
There were $\boxed{\text{4 sweets}}$ left in the box.

Identify the number of boys and the fraction of chocolate each boy receives.

Step-by-step solution

Identify the number of boys and the fraction of chocolate each boy receives.

Multiply the number of boys by the chocolate per boy to find the total chocolate needed.

Determine the total number of sweets in the box.

Calculate the number of sweets Sipho eats.

Calculate the number of sweets Thandi eats.

Calculate the total number of sweets eaten by Sipho and Thandi.

Subtract the total sweets eaten from the initial total to find the remaining sweets.

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