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Maya starts saving money in her piggy bank on March 1st.
She follows this pattern:
In Canada, a dime is worth 10 cents, a quarter is worth 25 cents, and a loonie is worth one dollar (100 cents).
(a) How many coins does Maya add to her piggy bank on March 12th?
(b) How many coins does Maya add to her piggy bank on March 15th?
(c) How many coins in total does Maya have in her piggy bank by the end of March 16th?
(d) If Maya keeps saving this way, how much money will she have after 20 days?
Let’s create a table to track Maya’s savings for the first 12 days:
| Day | Dime | Quarter | Loonie | Total Coins | Value Added | Total Value |
|---|---|---|---|---|---|---|
| 1 | 1 | 0 | 0 | 1 | $0.10 | $0.10 |
| 2 | 1 | 0 | 0 | 1 | $0.10 | $0.20 |
| 3 | 1 | 1 | 0 | 2 | $0.35 | $0.55 |
| 4 | 1 | 0 | 1 | 2 | $1.10 | $1.65 |
| 5 | 1 | 0 | 0 | 1 | $0.10 | $1.75 |
| 6 | 1 | 1 | 0 | 2 | $0.35 | $2.10 |
| 7 | 1 | 0 | 0 | 1 | $0.10 | $2.20 |
| 8 | 1 | 0 | 1 | 2 | $1.10 | $3.30 |
| 9 | 1 | 1 | 0 | 2 | $0.35 | $3.65 |
| 10 | 1 | 0 | 0 | 1 | $0.10 | $3.75 |
| 11 | 1 | 0 | 0 | 1 | $0.10 | $3.85 |
| 12 | 1 | 1 | 1 | 3 | $1.35 | $5.20 |
(a) On March 12th (Day 12), Maya adds 3 coins to her piggy bank (1 dime, 1 quarter, and 1 loonie).
(b) On March 15th (Day 15), Maya adds 2 coins to her piggy bank (1 dime and 1 quarter).
(c) By the end of March 16th, Maya will have added coins for 16 days. The pattern repeats every 12 days, so we can calculate:
– 12 days: $5.20
– 4 more days: $0.10 + $1.10 + $0.35 + $0.10 = $1.65
Total: $5.20 + $1.65 = $6.85
Total coins: 19 (from 12 days) + 5 (from 4 days) = 24 coins
(d) After 20 days:
– 12 days: $5.20
– 8 more days: $1.65 + $0.10 + $0.35 + $1.10 + $0.10 = $3.30
Total: $5.20 + $3.30 = $8.50
Therefore, after 20 days, Maya will have $8.50 in her piggy bank.
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