LlayahHarbin
19.09.2019 •
Mathematics
Agym is in the process of purchasing new 5-pound and 8-pound dumbbells for their aerobics room. each 5-pound dumbbell costs $8 and each 8-pound dumbbell costs $12. the entire shipment of dumbbells costs $432 and weighs 282 pounds. which equations can be used to find the number of 5-pound dumbbells, x, and the number of 8-pound dumbbells, y, in the shipment?
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Ответ:
5f+8e=282
8e=282-5f
e=(282-5f)/8
...
8f+12e=432, using e found above
8f+12(282-5f)/8=432
64f+12(282-5f)=3456
64f-60f+3384=3456
4f+3384=3456
4f=72
f=18, since e=(282-5f)/8
e=24
So there are 18 five pound and 24 eight pound dumbbells in the shipment.
Ответ: