Help with this please!
A shop owner paid a total of $5504 for some shirts and some ties. He paid $128 less for the shirts than the ties. Each tie cost $16 more than each shirt. The number of ties bought was 2/3 of the number of shirts bought.
a) How much did he pay for all the shirts?
b) How many shirts did he buy?
(a)
5504 – 128 = 5376
5376/2 = 2688 (all 3 units of shirts)
(b)
2688/3 = 896 (1 unit of ties)
2688 + 128 = 2816 (all 2 units of shirts)
2816/2 = 1408 (1 unit of shirts)
1408 – 896 = 512 (difference)
512/16 = 32 (1 unit)
32 x 3 = 96
Ans : (a) $2688; (b) 96 shirts.
ConceptualMaths
a) Amount spent on all shirts = (5504-128)/2
= 2688
Amount spent on all ties = 5504-2688
= 2816
By units: ties —-> 2u
shirts —> 3u
Amount spent on 1 unit of ties = 2816/2
= 1408
Amount spent on 1 unit of shirts = 2688/3
= 896
Gap = 1408-896
= 512
Difference = 16
Number of ties/shirts in 1 unit = 512/16
=32
b) Number of shirts bought = 3u
= 3 x 32
= 96
