Question P6 Everything changed
Today’s problem — free all day, every step. Every day has one.
The ratio of Aisha's savings to Mei's savings was 3:1. After Aisha saved $40 more and Mei spent $10, the new ratio became 5:1. How much money did Aisha have at first?
Answer
See all 7 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 a free one like it
65 worked examples are free without a code, two from every pattern. No account, either way.
Both amounts change, so no total and no gap stays fixed.
In this one. Because both amounts changed, keep the first ratio’s unit as an unknown u; the final ratio tells us that Aisha’s new amount is 5 times Mei’s new amount and pins down u.
Both people in a ratio change by different amounts, with words like 'joined' or 'saved more' for one and 'left' or 'spent' for the other.
Children look for a fixed total or a fixed gap out of habit. Neither is fixed here, so only the ratio at the end can give the size of a share.
Worked examples of all 33 patterns and skills, in a booklet you can print.