Opal bought 4 cupcakes more than tarts. Each cupcake cost $1.60 while each tart cost $1.90. Given that she spent $23.90 in total, how many tarts did Opal buy?
| |
Tarts |
Cupcakes |
Total |
| Number |
1 u |
1 u + 4 |
|
| Value |
$1.90 |
$1.60 |
|
| Total value |
1.9 u |
1.6 u + 6.4 |
1.6 u + 6.4 |
Amount that Opal paid for the tarts
= 1 u x 1.90
= 1.9 u
Amount that Opal paid for cupcakes
= 1.6 x (1 u + 4)
= 1.6 u + 6.4
Total amount that Opal paid
= 1.9 u + 1.6 u + 6.4
= 3.5 u + 6.4
3.5 u + 6.4 = 23.9
3.5 u = 23.9 - 6.4
3.5 u = 17.5
1 u = 17.5 ÷ 3.5 = 5
Number of tarts that Opal bought
= 1 u
= 5
Answer(s): 5
