Aussie Maths & Science Teachers: Save your time with SmarterEd
Harmony makes four tie-dye shirts for a total cost of $120.
She sells two of the shirts for $30 each and another for $45.
For what price must she sell the fourth shirt to achieve a profit?
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more than $15 |
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less than $15 |
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exactly $15 |
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a profit is not possible |
`text(more than $15)`
`text(C) text(ost) = $120`
`text(Sales) = 2 xx 30 + 45 = $105`
`text(Profit occurs when sales price)\ >\ text(cost)`
`:.\ text(Sales price of 4th shirt must be more than)\ $15`
Surf Grommets charge an hourly rate for surfing lessons and add a one-off charge of $45 for insurance.
The overall cost `(C)` is represented by the formula, `C = 30h + 45`, where `h` is the number of hours of lessons.
Mark has 11 hours of lessons with Surf Grommets.
How much does he pay?
| $86 | $330 | $375 | $825 |
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`$375`
| `C` | `= 30 xx 11 + 45` |
| `= 330 + 45` | |
| `= $375` |
Peter is selling tickets for a raffle.
Each ticket costs $1.50.
Peter sells a total of 60 tickets.
How much money does Peter collect for selling the tickets?
| $ |
`$90`
| `text(Money collected)` | `= 60 xx $1.50` |
| `=(60 xx $1) + (60 xx 0.5)` | |
| `= $90` |
Josh and Elyse own a shed business.
They charge $3350 to build a shed.
They pay 4 workers $42 per hour for 7 hours each to construct the shed.
The materials used for the shed cost $1125.
The remaining money is divided equally between Josh and Elyse.
How much will they each receive?
`$524.50`
`text(Shed sale price = $3350)`
| `text(Labour cost)` | `= 4 xx 7 xx 42` |
| `= $1176` |
`text(Materials cost = $1125)`
| `text(Remaining money)` | `= 3350 – (1176 + 1125)` |
| `= $1049` |
| `:.\ text(Amount each received)` | `= 1049/2` |
| `= $524.50` |
Tran is a baker and sells 100 loaves of bread at the markets. Each loaf costs him $2.25 to make.
He sells 80 loaves for $4.95 each.
In the last hour of the market, he sells the last 20 loaves for $2 each.
What is the total profit or loss of the 100 loaves?
| `−$5.00` | `$211.00` | `$216.00` | `$436.00` |
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`$211.00`
| `text(Total profit/loss)` | `=\ text(sales revenue – costs)` |
| `=(80 xx 4.95 + 20 xx 2) – (100 xx 2.25)` | |
| `= 436 – 225` | |
| `= $211` |
Health insurance for his family costs Mark $110 per week.
How much does it cost him over 52 weeks?
| $ |
`$5720`
`text(One multiplication strategy could be:)`
| `52 xx 110` | `=52 xx 100 + 52 xx 10` |
| `=5200 + 520` | |
| `=$5720` |
12 people went to Sea World together in a bus.
Entry into Sea World was $44 per person and the total cost of the bus was $120.
Which expression shows the total cost of the trip for everybody?
| `(44 + 120) xx 12` | `44 + 12 + 120` | `(12 xx 44) + 120` | `12 xx 44` |
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`(12 xx 44) + 120`
`text(Total cost of entry to Sea World)`
`=12 xx $44`
`text(Total cost of bus)\ = $120\ \ text{(given)}`
`:.\ text(Total cost of the trip for everybody)`
`= (12 xx 44) + 120`
A florist uses 17.5 kg of manure on her flower garden each day.
Manure costs $1.22 per kilogram.
How much does the florist pay for manure each day?
| $ |
`$21.35`
| `text(C) text(ost per day)` | `= 17.5 xx $1.22` |
| `= $21.35` |
Veronica is a florist.
She sells red roses for $3.50 each.
If she sells 100 red roses, how much does she make?
`$350`
`100 xx $3.50 = $350`
Lee pays a monthly membership of $36 to have unlimited entry to the local swimming pool.
If she does squad training, she needs to pay an extra $8 per session to the swim coach.
If Lee does `n` squad sessions in a month, which expression represents her monthly bill?
| `8n` | `36n` | `36n + 8` | `36 + 8n` |
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`36 + 8n`
`text(Monthly membership = $36)`
`text(C)text(ost of)\ n\ text(squad sessions =)\ $8n`
`:.\ text(Total monthly bill)\ = 36 + 8n`