Answer:
The per unit prices:
Bean Bags are £6. and
Space Savers are £3.
Step-by-step explanation:
Let B be the price of a Bean Bag and H the price of a Space Hopper.
We are told that:
1) 4B + 3H = £33, and
2) 7B + 3H = £51
Rearrange (1) to isolate B:
B = (£33 - 3H)/4
Now use this definition of B in equation (2):
7B + 3H = £51
7*(£33-3H)/4) + 3H = £51
(£231 - 21H)4 + 3H = £51 [Simplify]
£231 - 21H + 12H = £204
- 9H = - £27
H = £3
Now use H = £3 in equation (1) to find B:
4B + 3H = £33
4B + 3*£3 = £33
4B = £24
B = £6
CHECK
Does B = £6 and H = £3 satisfy bot6h purchase examples?
(1) 4B + 3H = £33?
4*(£6) + 3*(£3) = £33 ??
£24 + £9 = £33 YES
and
2) 7B + 3H = £51 ?
7*(£6) + 3*(£3) = £51 ??
£42 + £9 = £51 YES
