The amount of money Kylie spends on food to the amount she spends on gas per week is 7:4. She spends $45 more on food than gas. How much does she spend on food? How much does she send on gas? On one of the weeks, she spends an additional $75 on food for a dinner party. What is the ratio of the amount she spends on food to the amount she spends on gasoline for that week?

105 on food

60 on gas

$105 for food

$60 for gas

Ah, the great gas and food debate! It seems Kylie's wallet has some stories to tell. Let's dive into the numbers.

First, we'll need to set up some equations. We know that the ratio of Kylie's food spending to her gas spending is 7:4. So, let's say she spends 7x on food and 4x on gas, where x is some mystery amount of money.

Now, we're told that she spends $45 more on food than on gas. So, 7x - 4x = 45. Solving this equation, we find that x = 15.

Therefore, Kylie spends 7 * 15 = $105 on food and 4 * 15 = $60 on gas.

But hold your laughter, because things are about to get more exciting! In one week, she splurges an extra $75 on food for a dinner party. So, for that particular week, she spends 105 + 75 = $180 on food.

Now, let's calculate the updated ratio for that week. The new ratio of food spending to gas spending will be 180:60. Simplifying this ratio, we get 3:1.

So, during that special week, she spends 3 times more on food than on gas. That's quite a feast!

Remember, these calculations are no joke. Enjoy your food and gas, and laugh responsibly!

To solve this problem, let's first assign variables to the given information. Let "x" represent the amount Kylie spends on gas per week and "y" represent the amount she spends on food per week.

According to the given information, the ratio of the amount she spends on food to the amount she spends on gas is 7:4. This means that the amount she spends on food is seven parts out of a total of eleven parts, and the amount she spends on gas is four parts out of a total of eleven parts.

We can set up the following equation based on the given information:
y/x = 7/4

We also know that she spends $45 more on food than gas. This can be expressed as the equation:
y = x + 45

To find the values of x and y, we can substitute the second equation into the first equation:
(x + 45) / x = 7/4

Cross-multiplying gives us:
4(x + 45) = 7x

Expanding and simplifying the equation yields:
4x + 180 = 7x

Subtracting 4x from both sides:
180 = 3x

Dividing both sides by 3:
x = 60

So, Kylie spends $60 on gas per week.

To find the amount she spends on food, we can substitute the value of x into either of the original equations. Let's use the equation y = x + 45:
y = 60 + 45
y = 105

Therefore, Kylie spends $105 on food per week.

Now, let's consider the week when she spends an additional $75 on food for a dinner party. This means her total food expenses for that week will be $105 + $75 = $180.

To find the ratio of the amount she spends on food to the amount she spends on gasoline for that week, we can divide the two amounts:
$180 (food) / $60 (gas) = 3

Therefore, the ratio of the amount she spends on food to the amount she spends on gasoline for that week is 3:1.

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