Highfields hospital has a budget of £50 for materials to decorate a new ward. The room has 2 smaller walls measuring 3.67m long and 2 larger walls measuring 4.87m long. The height of the walls is 2.2m. Your manager wants 1 of the larger walls wallpapered and the other 3 walls painted. A 1.5L tin of paint covers 18m^2 and cost £13. A roll of wallpaper costs £9 and measures 48cm wide and 8cm long. Can you decorate the ward within the budget? Show your working out
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Answer:
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Given : Highfields hospital has a budget of £50 for materials to decorate a new ward.
The room has 2 smaller walls measuring 3.67m long and 2 larger walls measuring 4.87m long.
The height of the walls is 2.2m.
1 of the larger walls wallpapered and the other 3 walls painted.
A 1.5L tin of paint covers 18m² and cost £13.
A roll of wallpaper costs £9 and measures 48cm wide and 8cm long.
To Find : Can the ward be decorated within the budget
Solution:
Area of larger wall = 4.87 * 2.2 = 10.714 m²
Area of a roll = (48/100) * (8/100) = 0.0384 m²
Number of rolls required = 10.714/0.0384 = 279
Cost of 279 rolls = 279 * 9 = 2511 £
ward can not be decorated within the budget as budget is just 50 £
and still 3 walls to be painted
Just for information :
Area of smaller wall = 3.67 * 2.2 =8.074 m²
Hence other 3 walls area = 10.714 + 2 (8.074)
= 26.862 m²
2 Tins will be needed as one can paint 18 m²
Hence cost = 13 * 2 = 26 £
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