Vanessa paid $16 for 7 scones and 5 cakes. A cake cost five times as much as a scone.
- Find the cost of a scone in cents.
- How much more did she pay for a cake than a scone?
|
Scones |
Cakes |
Total |
Number |
7 |
5 |
|
Value |
1 u |
5 u |
|
Total value |
7 u |
25 u |
32 u |
(a)
Cost of 1 scone = 1 u
Cost of 1 cake = 5 u
Cost of 7 scones
= 7 x 1 u
= 7 u
Cost of 5 cakes
= 5 x 5 u
= 25 u
Total cost of 7 scones and 5 cakes
= 7 u + 25 u
= 32 u
$1 = 100¢
$16 = 16 x 100 = 1600¢
32 u = 1600
1 u = 1600 ÷ 32 = 50
Cost of a bun
= 1 u
= 50¢
(b)
Amount that Vanessa paid more for a cake than a scone
= 7 u - 1 u
= 6 u
= 6 x 50
= 300¢
300¢ = $3
Answer(s): (a) 50¢ (b) $3