Multi-Step Worded Problems

Find how many pencils the school bought altogether first.

The booking fee is paid once, not once for each ticket.

Find how many groups of 6 there are in 152, and what is left over.

Change the kilograms into grams first. There are 1000 g in 1 kg.

Count the breaks carefully: there is one between each pair of films.

Work out the distance for one journey there and back first.

1. There and back once: 27\times2=54 km.
2. In one day: 54\times3=162 km.
3. In 5 days: 162\times5=810 km.

Change the centimetres into metres, then find the total length of wood.

1. Long pieces: 4\times1.5=6 m.
2. Short pieces: 80 cm =0.8 m, and 2\times0.8=1.6 m.
3. Total length: 6+1.6=7.6 m.
4. Cost: 7.6\times3.20=24.32, so £24.32.

Find how much of each ingredient one person needs, then scale up to 10 people.

1. For 1 person: pasta 300\div4=75 g and cheese 150\div4=37.5 g.
2. For 10 people: pasta 75\times10=750 g and cheese 37.5\times10=375 g.
3. Total: 750+375=1125 g.

Take away the cost of the trophy before you share the money.

1. Money left: 640-148=492, so £492.
2. Each charity: 492\div4=123, so £123.

Work out the cost of the notebooks and the cost of the pens, using pounds for both.

1. Notebooks: 3\times1.85=5.55, so £5.55.
2. Pens: 4\times45=180p = £1.80.
3. Total: 5.55+1.80=7.35, so £7.35.
4. Change: 10-7.35=2.65, so £2.65.

Each person packs a different number of boxes each hour, so work them out separately.

Part (a)

1. Sam: 24\times5=120 boxes.
2. Jo: 18\times6=108 boxes.
3. Altogether: 120+108=228 boxes.

Part (b)

1. 300-228=72 boxes are still to be packed.

Check whether the plants left over after the full trips still need another trip.

1. 48\times7=336, which is less than 350, so 7 trips are not enough.
2. 350-336=14 plants are still to deliver, so one more trip is needed.
3. The smallest number of trips is 8.

Lin can only buy whole packs, so round the number of packs up.

1. Balloons needed: 75\times2=150.
2. 150\div20=7.5, so 7 packs are not enough. Lin needs 8 packs.
3. Cost: 8\times2.40=19.20, so £19.20.

Work out how much Ravi spent altogether, then take away the cost of the drinks.

1. Amount spent: 20-8.95=11.05, so £11.05.
2. Drinks: 2\times1.25=2.50, so £2.50.
3. Sandwiches: 11.05-2.50=8.55, so £8.55 for 3 sandwiches.
4. One sandwich: 8.55\div3=2.85, so £2.85.

Find how many biscuits can be sold before you put them into boxes.

1. Biscuits made: 36\times14=504.
2. Biscuits that can be sold: 504-23=481.
3. 8\times60=480 and 8\times61=488, which is more than 481.
4. So the bakery can send 60 full boxes.

Each step uses the students who are left after the step before.

1. Museum: \frac{2}{7} of 280 is 280\div7\times2=80 students.
2. Students left: 280-80=200.
3. Theatre: 10\% of 200 is 20, so 30\% of 200 is 3\times20=60 students.
4. Students left: 200-60=140.
5. Each group: 140\div7=20 students.

Find how much of the £2112 came from the stalls tickets.

1. Stalls tickets: 96\times14.50=1392, so £1392.
2. Balcony tickets: 2112-1392=720, so £720.
3. One balcony ticket: 720\div64=11.25, so £11.25.

Work out the total cost of each gym for the whole year, including any joining fee.

Part (a)

1. Gym X: 35+12\times22=35+264=299, so £299.
2. Gym Y: 52\times6.25=325, so £325.
3. £299 is less than £325, so Gym X is cheaper.

Part (b)

1. 325-299=26, so it is £26 cheaper.

The opening times are not needed. Profit is the money taken take away the cost of the ingredients.

Part (a)

1. Cupcakes made: 4\times24=96.
2. Cupcakes sold: 96-9=87.
3. Money taken: 87\times0.85=73.95, so £73.95.
4. Profit: 73.95-31.40=42.55, so £42.55.

Part (b)

1. Money taken for all 96 cupcakes: 96\times0.85=81.60, so £81.60.
2. Profit: 81.60-31.40=50.20, so £50.20.
3. £50.20 is more than £50, so Kayla is correct.

Work out how many adults must go, then how many minibuses are needed for everyone.

1. Adults: 44\div8=5.5, so at least 6 adults are needed.
2. People travelling: 44+6=50.
3. Minibuses: 3\times16=48 is not enough for 50, so 4 minibuses are needed.
4. Cost: 4\times99=396, so £396.
5. Each child: 396\div44=9, so £9.