Penelope had some money. If she buys 9 sweets, she will have $9 left. If she buys 11 sweets, she will have $3 left.
- How much does each sweet cost?
- How much money does she have?
(a)
Let 1 S be the price of 1 sweet.
9 S + 9 = 11 S + 3
11 S - 9 S = 9 - 3
2 S = 6
1 S = 6 ÷ 2 = 3
Cost of each sweet = $3
(b)
Total amount that Penelope had
= 11 x 3 + 3
= 33 + 3
= $36
Answer(s): (a) $3; (b) $36