Answer
$10x+25y = 285$;
𝐖𝐡𝐞𝐫𝐞 𝐱 𝐫𝐞𝐩𝐫𝐞𝐬𝐞𝐧𝐭𝐬 𝟏𝟎 𝐝𝐨𝐥𝐥𝐚𝐫 𝐠𝐢𝐟𝐭𝐜𝐚𝐫𝐝𝐬, 𝐚𝐧𝐝 𝐲 𝐫𝐞𝐩𝐫𝐞𝐬𝐞𝐧𝐭𝐬 𝟐𝟓 𝐝𝐨𝐥𝐥𝐚𝐫 𝐠𝐢𝐟𝐭𝐜𝐚𝐫𝐝𝐬
1 ten dollar card, 11 twenty-five dollar cards
6 ten dollar cards, 9 twenty-five dollar cards
11 ten dollar cards, 7 twenty-five dollar cards
These answers are samples, other answers may be accepted if they follow the equation.
Work Step by Step
Make an equation to model the equation. We can make x represent ten dollar cards and y represent 25 dollar cards. Since 10 dollar cards are worth 10 dollars, the term for the 10 dollar cards are $10x$. Since 25 dollar cards are worth 25 dollars, the term for the 25 dollar cards are $25y$. Those add to $285$ dollars. The equation will be
$10x+25y = 285$;
𝐖𝐡𝐞𝐫𝐞 𝐱 𝐫𝐞𝐩𝐫𝐞𝐬𝐞𝐧𝐭𝐬 𝟏𝟎 𝐝𝐨𝐥𝐥𝐚𝐫 𝐠𝐢𝐟𝐭𝐜𝐚𝐫𝐝𝐬, 𝐚𝐧𝐝 𝐲 𝐫𝐞𝐩𝐫𝐞𝐬𝐞𝐧𝐭𝐬 𝟐𝟓 𝐝𝐨𝐥𝐥𝐚𝐫 𝐠𝐢𝐟𝐭𝐜𝐚𝐫𝐝𝐬
Now, just think of 3 whole number points that work on the equation. A sample answer is shown in the answer box above.
