Kathy had some money. If she buys 7 sweets, she will have $10 left. If she buys 9 sweets, she will have $4 left.
- How much does each sweet cost?
- How much money does she have?
(a)
Let 1 S be the price of 1 sweet.
7 S + 10 = 9 S + 4
9 S - 7 S = 10 - 4
2 S = 6
1 S = 6 ÷ 2 = 3
Cost of each sweet = $3
(b)
Total amount that Kathy had
= 9 x 3 + 4
= 27 + 4
= $31
Answer(s): (a) $3; (b) $31