MathBrush
←  All problems

Question P4–P5–P6 Units and parts

Today’s problem — free all day, every step. Every day has one.

Cupcakes at four stalls — Stall D's share

Four stalls at a charity bake sale sold cupcakes. Stall B sold 6 fewer cupcakes than Stall A. Stall C sold 3 times as many cupcakes as Stall A. Stall D sold 9 fewer cupcakes than Stall C. Altogether the four stalls sold 145 cupcakes. How many cupcakes did Stall D sell?

See all 10 steps

MathBrush is being tested with a few parent groups, and every solution on the site is open to them — one household, all children. If you were given a code, it goes in once and this device remembers it.

I have a code → See the free ones

65 worked examples are free without a code, two from every pattern. No account, either way.

About this method

Units and parts

Cut one amount into equal shares. One number tells you what a share is worth.

In this one. Make Stall A one unit, then restore the two missing amounts, 6 and 9, so the ragged total becomes 8 complete equal units.

In allone share

How to spot it

A single amount is split by a ratio, a fraction or a percentage. One extra number gives you the leftover, the difference, or the value of one share.

Common mistake

Children match the given number to the wrong number of shares, using the whole bar when the number covers only the leftover or the difference between two people's shares.

Practise a similar question

Standard Four classmates saved money for a class trip. Liam saved $15 less than Sara. Priya saved twice as much as Sara. Tom saved $9 less than Priya. Altogether the four classmates saved $126. How much did Tom save?
All 11 with this pattern →
Get the free patterns and skills booklet

Patterns and skills booklet

Worked examples of all 33 patterns and skills, in a booklet you can print.