Dana bought 3 puffs more than macarons. Each puff cost $1.70 while each macaron cost $2.90. Given that she spent $28.10 in total, how many macarons did Dana buy?
|
Macarons |
Puffs |
Total |
Number |
1 u |
1 u + 3 |
|
Value |
$2.90 |
$1.70 |
|
Total value |
2.9 u |
1.7 u + 5.1 |
1.7 u + 5.1 |
Amount that Dana paid for the macarons
= 1 u x 2.90
= 2.9 u
Amount that Dana paid for puffs
= 1.7 x (1 u + 3)
= 1.7 u + 5.1
Total amount that Dana paid
= 2.9 u + 1.7 u + 5.1
= 4.6 u + 5.1
4.6 u + 5.1 = 28.1
4.6 u = 28.1 - 5.1
4.6 u = 23
1 u = 23 ÷ 4.6 = 5
Number of macarons that Dana bought
= 1 u
= 5
Answer(s): 5