8.2.1 Basic Measurements, PT3 Practice

Question 1:
Karen has 18 m of ribbon to tie 16 bars of chocolate and 28 boxes of sweets. A bar of chocolate needs 24 cm of ribbon and a box of sweets needs 38 cm of ribbon.
Calculate the length, in m, of the remaining ribbon.

Solution:
Length of ribbon needed
= (16 × 24 cm) + (28 × 38 cm)
= 384 cm + 1064 cm
= 1448 cm
= 14.48 m

Length of remaining ribbon
= 18 m – 14.48 m
= 3.52 m

Question 2:
The length of a red string is 4 m 80 cm. The length of a brown string is ⅔ of the length of the red string. The length of a black string is twice the length of the brown string.
Calculate the total length, in m, of the brown and the black strings.

Solution:
$\begin{array}{l}\text{Length of brown string}\\ =\frac{2}{3}\times 4\text{ m }80\text{ cm}\\ =\frac{2}{3}\times 4.8\\ =3.2\text{ m}\\ \\ \text{Length of black string}\\ =2\times 3.2\text{ m}\\ =6.4\text{ m}\\ \\ \text{Total length}=3.2\text{ m}+6.4\text{ m}\\ =9.6\text{ m}\end{array}$

Question 3:
Kelly has 13 m of cloth. She uses it to make 6 curtains and 4 tablecloths. Each curtain requires 1.25 m of cloth and each tablecloth requires 90 cm of cloth.
What is the length, in m, of the remaining cloth?

Solution:
Length of cloth used to make curtains
= 6 × 1.25 m
= 7.5 m

Length of cloth used to make tablecloth
= 4 × 90 cm
= 360 cm
= 3.6 m

Length of the remaining cloth
= 13 – 7.5 – 3.6
= 1.9 m

Question 4:
A rope measuring 6 m 30 cm is cut into 1.6 m, 96 cm and the remainder into two equal parts. Find the length of each of the remaining parts, in cm.

Solution:
(6 m 30 cm – 1.6 m – 96 cm) ÷ 2
= (630 cm – 160 cm – 96 cm) ÷ 2
= 374 cm ÷ 2
= 187 cm