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Four boys' money — Peter's share
Four boys received a sum of money. Mike received $10 less than Nate. Owen received twice as much money as Nate. Peter received $6 less than Owen. The four boys received $80 in total. How much money did Peter receive?
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The pattern behind it: Units and parts
Cut one amount into equal shares. One number tells you what a share is worth.
In this one. Every boy's share is described from Nate's bar, so the four bars are 6 whole units with $10 and $6 cut off — put those two shortfalls back onto the total and the units become equal.
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.
Try one like it
Standard Class trip savings — four classmates 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 …The 33 problem patterns
All 33 patterns, one to a page — the 19 behind Primary 5 and 6 word problems, and the skills the younger years are built on. The bar model, how to spot it in the question, and the mistake children make. A booklet you can print. Free.
A PDF, and a note when new solutions go up.