Product A is twice as expensive as product B. A company buys three times as much of B as it does of A and spends $52 in purchasing an order of these two products . This order includes 20 kg of product A. What is the cost per kg of each product? (please show me working)

Question

Product A is twice as expensive as product B. A company buys three times as much of B as it does of A and spends $52 in purchasing an order of these two products . This order includes 20 kg of product  A. What is the cost per kg of each product? (please show me working)

anonymous · Answer

Let the price of product A be x
so the price of product B is 2x

Let the amount of product A be y
so the amount of product B is 3y

xy + 6xy = 52

anonymous · Answer

so product A weighs 20/7 kg
and product B weighs 120/7 kg

anonymous · Answer

the question asks how much they cost

anonymous · Answer

52/7 divided by 20/7 = $52/20  per kg

312/7 divided by 120/7 = $312/120 per kg

anonymous · Answer

I may have a mistake

anonymous · Answer

yes cause those two are somehow wrong

anonymous · Answer

wait

anonymous · Answer

ok

anonymous · Answer

y + 3y = 20 kg

y = 5 kg

Product A is 5 kg
Product B is 15 kg

anonymous · Answer

52/7 divided by 5 
312/7 divided by 15

anonymous · Answer

anyway ill just give this question up

anonymous · Answer

Product A and B cost $1.04 and $0.52 per kg respectively.

anonymous · Answer

wow thanks a lot mate