Let's assume Victoria's total money is M.
She spent 5/9*M on a cake and two meat pies.
Let's assume the cost of the cake is C.
So the cost of two meat pies is (1/6)*C.
The total amount she spent on the cake and two pies is C + (1/6)*C = (7/6)*C.
We know she had $24 left, so 5/9*M + (7/6)*C = M - 24.
Simplifying the equation, we get (5/9)*M - M = -24 - (7/6)*C.
Combining like terms, we have (-4/9)*M = -24 - (7/6)*C.
Multiplying both sides by -9/4, we get M = 54 + (63/8)*C.
Since M represents Victoria's money, it must be an integer value.
So the value of (63/8)*C must be a multiple of 8.
The only multiple of 8 in the given answer choices is 8, which means (63/8)*C must equal 8.
Simplifying the equation (63/8)*C = 8, we get C = (8*8)/63 = 64/63.
Therefore, the cost of the cake is $1 (rounded to the nearest cent).
To find out how much Victoria spent, we substitute the value of C into the equation (7/6)*C to get (7/6)*1 = 7/6 = $1.17.
So, (A) Victoria spent $1.17 (rounded to the nearest cent).
(B) The cake cost $1.
Victoria spent 5 9 of her money on a cake and two meat pies. Each meat pie cost 1 6 as much as the cake. She had $24 left.
(A) How much did victoria spend?
(B) How much did the cake cost
3 answers
Melody had 98 stickers she gave 2 7 of them to her sister and 3 5 of the remainder to her brother if she wanted to increase her collection of stickers to twice of what she had originally how many more stickers must melody buy?
According to the information given:
Step 1: Determine the fraction of stickers Melody gave to her sister.
Melody gave away 2/7 of her stickers to her sister.
Step 2: Determine the fraction of the remaining stickers Melody gave to her brother.
Melody gave away 3/5 of the remainder to her brother.
Step 3: Calculate the number of stickers Melody gave to her sister.
To find the number of stickers Melody gave to her sister, we need to multiply the fraction (2/7) by the total number of stickers Melody had.
Number of stickers given to sister = (2/7) * 98 = 28
Step 4: Calculate the remaining stickers after giving some to her sister.
To find the number of stickers Melody had remaining after giving some to her sister, we need to subtract the amount given to her sister from the total number of stickers.
Remaining stickers = Total stickers - Stickers given to sister = 98 - 28 = 70
Step 5: Calculate the number of stickers Melody gave to her brother.
To find the number of stickers Melody gave to her brother, we need to multiply the fraction (3/5) by the number of remaining stickers.
Number of stickers given to brother = (3/5) * 70 = 42
Step 6: Calculate the final number of stickers Melody had.
To find the final number of stickers Melody had, we subtract the number of stickers given to her brother from the remaining stickers.
Final number of stickers = Remaining stickers - Stickers given to brother = 70 - 42 = 28
Step 7: Calculate the number of stickers Melody needs to buy to double the initial amount.
To double the initial number of stickers, Melody needs to have 2 times the number she initially had. Since she initially had 98 stickers, the number of stickers she needs to buy is:
Number of stickers to buy = (2 * 98) - Final number of stickers = 196 - 28 = 168
Therefore, Melody needs to buy 168 more stickers to have twice the initial number she had.
Step 1: Determine the fraction of stickers Melody gave to her sister.
Melody gave away 2/7 of her stickers to her sister.
Step 2: Determine the fraction of the remaining stickers Melody gave to her brother.
Melody gave away 3/5 of the remainder to her brother.
Step 3: Calculate the number of stickers Melody gave to her sister.
To find the number of stickers Melody gave to her sister, we need to multiply the fraction (2/7) by the total number of stickers Melody had.
Number of stickers given to sister = (2/7) * 98 = 28
Step 4: Calculate the remaining stickers after giving some to her sister.
To find the number of stickers Melody had remaining after giving some to her sister, we need to subtract the amount given to her sister from the total number of stickers.
Remaining stickers = Total stickers - Stickers given to sister = 98 - 28 = 70
Step 5: Calculate the number of stickers Melody gave to her brother.
To find the number of stickers Melody gave to her brother, we need to multiply the fraction (3/5) by the number of remaining stickers.
Number of stickers given to brother = (3/5) * 70 = 42
Step 6: Calculate the final number of stickers Melody had.
To find the final number of stickers Melody had, we subtract the number of stickers given to her brother from the remaining stickers.
Final number of stickers = Remaining stickers - Stickers given to brother = 70 - 42 = 28
Step 7: Calculate the number of stickers Melody needs to buy to double the initial amount.
To double the initial number of stickers, Melody needs to have 2 times the number she initially had. Since she initially had 98 stickers, the number of stickers she needs to buy is:
Number of stickers to buy = (2 * 98) - Final number of stickers = 196 - 28 = 168
Therefore, Melody needs to buy 168 more stickers to have twice the initial number she had.