Question

Sana’s mother bought produce for sunday dinner. She bought one more pound of peaches than of tomatoes. She bought three times as many pounds of tomatoes than pounds of mushrooms. If peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost 10$ per pound, how many of each did Sana’s mother buy for $80?

PLEASE HELP ASAP

Answer 1

SOLUTION

GIVEN

Sana’s mother bought produce for sunday dinner. She bought one more pound of peaches than of tomatoes. She bought three times as many pounds of tomatoes than pounds of mushrooms.

The peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost 10$ per pound,

TO DETERMINE

The number of each Sana’s mother bought for $80

EVALUATION

Let number of mushrooms = x pounds

Number of tomatoes = 3x pounds

Number of peaches = 3x + 1 pounds

Now it is given that the peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost 10$ per pound

Also total cost = $ 80

So by the given condition

$\sf{6(3x + 1) + (3 \times 3x) + (10 \times x) = 80}$

$\sf{ \implies \: 18x + 6 + 9x + 10x= 80}$

$\sf{ \implies \: 37x + 6= 80}$

$\sf{ \implies \: 37x = 74}$

$\sf{ \implies \: x = 2}$

FINAL ANSWER

Number of mushrooms = 2 pounds

Number of tomatoes = 6 pounds

Number of peaches = 7 pounds

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Answer 2

Answer: 7 lb peaches, 6 lb tomatoes, 2lb mushrooms

Step-by-step explanation:

Sana’s mother bought produce for sunday dinner. She bought one more pound of peaches than of tomatoes. She bought three times as many pounds of tomatoes than pounds of mushrooms. The peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost 10$ per pound, TO DETERMINEThe number of each Sana’s mother bought for $80EVALUATIONLet number of mushrooms = x pounds Number of tomatoes = 3x pounds Number of peaches = 3x + 1 pounds Now it is given that the peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost 10$ per poundAlso total cost = $ 80So by the given condition FINAL ANSWERNumber of mushrooms = 2 pounds Number of tomatoes = 6 pounds Number of peaches = 7 pounds