Question 13 of 20intermediate🔧 ApplyShort Answer6 marks

For each of the questions below, choose the expression that describes the solution. Then simplify it. (a) Maria bought 8 m of lace to decorate the bags she made for school. She used 14\frac{1}{4} m for each bag and finished the lace. How many bags did she decorate? (b) 12\frac{1}{2} meter of ribbon is used to make 8 badges. What is the length of the ribbon used for each badge? (c) A baker needs 16\frac{1}{6} kg of flour to make one loaf of bread. He has 5 kg of flour. How many loaves of bread can he make?

(a)

Maria bought 8 m of lace to decorate the bags she made for school. She used 14\frac{1}{4} m for each bag and finished the lace. How many bags did she decorate? (i) 8×148 \times \frac{1}{4} (ii) 18×14\frac{1}{8} \times \frac{1}{4} (iii) 8÷148 \div \frac{1}{4} (iv) 14÷8\frac{1}{4} \div 8

Answer

Option (iii): 8÷14=328 \div \frac{1}{4} = 32 bags

(b)

12\frac{1}{2} meter of ribbon is used to make 8 badges. What is the length of the ribbon used for each badge? (i) 8×128 \times \frac{1}{2} (ii) 12÷18\frac{1}{2} \div \frac{1}{8} (iii) 8÷128 \div \frac{1}{2} (iv) 12÷8\frac{1}{2} \div 8

Answer

Option (iv): 12÷8=116\frac{1}{2} \div 8 = \frac{1}{16} m

(c)

A baker needs 16\frac{1}{6} kg of flour to make one loaf of bread. He has 5 kg of flour. How many loaves of bread can he make? (i) 5×165 \times \frac{1}{6} (ii) 16÷5\frac{1}{6} \div 5 (iii) 5÷165 \div \frac{1}{6} (iv) 5×65 \times 6

Answer

Option (iii): 5÷16=305 \div \frac{1}{6} = 30 loaves

Explanation

(a) To find the number of bags, divide total lace by lace per bag: 8÷14=8×4=328 \div \frac{1}{4} = 8 \times 4 = 32 (b) To find ribbon per badge, divide total ribbon by number of badges: 12÷8=12×18=116\frac{1}{2} \div 8 = \frac{1}{2} \times \frac{1}{8} = \frac{1}{16} m (c) To find number of loaves, divide total flour by flour per loaf: 5÷16=5×6=305 \div \frac{1}{6} = 5 \times 6 = 30